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What kind of function is f(x) = 9 · 3^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 4 · 5^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 9 · 5^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 8 · 3^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 8 · 5^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 7 · 2^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 4 · 2^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 8 · 4^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 2 · 2^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 2 · 5^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 2 · 4^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 6 · 3^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 9 · 2^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 3 · 3^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 3 · 2^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 5 · 3^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 5 · 4^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 4 · 3^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 2 · 3^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 7 · 3^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 5 · 2^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 8 · 2^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 6 · 2^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 7 · 4^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 9 · 4^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 3 · 5^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 7 · 5^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 5 · 5^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 6 · 5^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 6 · 4^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 3 · 4^x?
1. Exponential
2. Polynomial
3. Linear
What kind of function is f(x) = 4 · 4^x?
1. Exponential
2. Polynomial
3. Linear
A function has f(0) = 3, f(1) = 6, f(2) = 12, f(3) = 24. Which family does it most likely belong to?
1. Exponential: the values multiply by 2 each step
2. Quadratic: the values grow faster and faster
3. Linear
A function has f(0) = 4, f(1) = 8, f(2) = 16, f(3) = 32. Which family does it most likely belong to?
1. Exponential: the values multiply by 2 each step
2. Quadratic: the values grow faster and faster
3. Linear
A function has f(0) = 2, f(1) = 4, f(2) = 8, f(3) = 16. Which family does it most likely belong to?
1. Exponential: the values multiply by 2 each step
2. Quadratic: the values grow faster and faster
3. Linear
A function has f(0) = 3, f(1) = 9, f(2) = 27, f(3) = 81. Which family does it most likely belong to?
1. Exponential: the values multiply by 3 each step
2. Quadratic: the values grow faster and faster
3. Linear
A function has f(0) = 5, f(1) = 10, f(2) = 20, f(3) = 40. Which family does it most likely belong to?
1. Exponential: the values multiply by 2 each step
2. Quadratic: the values grow faster and faster
3. Linear
A function has f(0) = 4, f(1) = 12, f(2) = 36, f(3) = 108. Which family does it most likely belong to?
1. Exponential: the values multiply by 3 each step
2. Quadratic: the values grow faster and faster
3. Linear
A function has f(0) = 6, f(1) = 18, f(2) = 54, f(3) = 162. Which family does it most likely belong to?
1. Exponential: the values multiply by 3 each step
2. Quadratic: the values grow faster and faster
3. Linear
A function has f(0) = 5, f(1) = 15, f(2) = 45, f(3) = 135. Which family does it most likely belong to?
1. Exponential: the values multiply by 3 each step
2. Quadratic: the values grow faster and faster
3. Linear
A function has f(0) = 2, f(1) = 6, f(2) = 18, f(3) = 54. Which family does it most likely belong to?
1. Exponential: the values multiply by 3 each step
2. Quadratic: the values grow faster and faster
3. Linear
A function has f(0) = 6, f(1) = 12, f(2) = 24, f(3) = 48. Which family does it most likely belong to?
1. Exponential: the values multiply by 2 each step
2. Quadratic: the values grow faster and faster
3. Linear
What kind of function is g(x) = (x + 4) / (x − 2)?
1. Rational, with a vertical asymptote at x = 2
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 4) / (x − 8)?
1. Rational, with a vertical asymptote at x = 8
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 3) / (x − 6)?
1. Rational, with a vertical asymptote at x = 6
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 2) / (x − 9)?
1. Rational, with a vertical asymptote at x = 9
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 5) / (x − 3)?
1. Rational, with a vertical asymptote at x = 3
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 1) / (x − 8)?
1. Rational, with a vertical asymptote at x = 8
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 6) / (x − 2)?
1. Rational, with a vertical asymptote at x = 2
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 5) / (x − 4)?
1. Rational, with a vertical asymptote at x = 4
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 7) / (x − 8)?
1. Rational, with a vertical asymptote at x = 8
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 8) / (x − 2)?
1. Rational, with a vertical asymptote at x = 2
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 5) / (x − 5)?
1. Rational, with a vertical asymptote at x = 5
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 1) / (x − 3)?
1. Rational, with a vertical asymptote at x = 3
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 2) / (x − 5)?
1. Rational, with a vertical asymptote at x = 5
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 2) / (x − 3)?
1. Rational, with a vertical asymptote at x = 3
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 4) / (x − 9)?
1. Rational, with a vertical asymptote at x = 9
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 4) / (x − 6)?
1. Rational, with a vertical asymptote at x = 6
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 6) / (x − 1)?
1. Rational, with a vertical asymptote at x = 1
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 9) / (x − 4)?
1. Rational, with a vertical asymptote at x = 4
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 2) / (x − 6)?
1. Rational, with a vertical asymptote at x = 6
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 1) / (x − 2)?
1. Rational, with a vertical asymptote at x = 2
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 7) / (x − 1)?
1. Rational, with a vertical asymptote at x = 1
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 5) / (x − 9)?
1. Rational, with a vertical asymptote at x = 9
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 3) / (x − 7)?
1. Rational, with a vertical asymptote at x = 7
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 8) / (x − 4)?
1. Rational, with a vertical asymptote at x = 4
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 6) / (x − 9)?
1. Rational, with a vertical asymptote at x = 9
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 5) / (x − 8)?
1. Rational, with a vertical asymptote at x = 8
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 8) / (x − 9)?
1. Rational, with a vertical asymptote at x = 9
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 2) / (x − 2)?
1. Rational, with a vertical asymptote at x = 2
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 9) / (x − 8)?
1. Rational, with a vertical asymptote at x = 8
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 6) / (x − 6)?
1. Rational, with a vertical asymptote at x = 6
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 7) / (x − 3)?
1. Rational, with a vertical asymptote at x = 3
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 4) / (x − 1)?
1. Rational, with a vertical asymptote at x = 1
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 3) / (x − 4)?
1. Rational, with a vertical asymptote at x = 4
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 1) / (x − 4)?
1. Rational, with a vertical asymptote at x = 4
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 6) / (x − 4)?
1. Rational, with a vertical asymptote at x = 4
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 9) / (x − 2)?
1. Rational, with a vertical asymptote at x = 2
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 2) / (x − 8)?
1. Rational, with a vertical asymptote at x = 8
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 8) / (x − 5)?
1. Rational, with a vertical asymptote at x = 5
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 8) / (x − 8)?
1. Rational, with a vertical asymptote at x = 8
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 8) / (x − 1)?
1. Rational, with a vertical asymptote at x = 1
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 1) / (x − 5)?
1. Rational, with a vertical asymptote at x = 5
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 2) / (x − 4)?
1. Rational, with a vertical asymptote at x = 4
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 6) / (x − 7)?
1. Rational, with a vertical asymptote at x = 7
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 3) / (x − 5)?
1. Rational, with a vertical asymptote at x = 5
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 6) / (x − 8)?
1. Rational, with a vertical asymptote at x = 8
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 8) / (x − 6)?
1. Rational, with a vertical asymptote at x = 6
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 7) / (x − 2)?
1. Rational, with a vertical asymptote at x = 2
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 6) / (x − 3)?
1. Rational, with a vertical asymptote at x = 3
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 4) / (x − 7)?
1. Rational, with a vertical asymptote at x = 7
2. Polynomial of degree 1
3. Logarithmic
What kind of function is g(x) = (x + 3) / (x − 9)?
1. Rational, with a vertical asymptote at x = 9
2. Polynomial of degree 1
3. Logarithmic
Find the average rate of change of $f(x) = 3x^2$ from $x = 0$ to $x = 6$ .
$f(x) = -(x - 5)^2 + 8$ . On which interval is $f$ increasing?
1. $(-\infty, 5)$
2. $(5, \infty)$
3. $(-\infty, 8)$
$f(x) = -(x - 1)^2 + 7$ . On which interval is $f$ increasing?
1. $(-\infty, 1)$
2. $(1, \infty)$
3. $(-\infty, 7)$
$f(x) = -(x - 3)^2 + 2$ . On which interval is $f$ increasing?
1. $(-\infty, 3)$
2. $(3, \infty)$
3. $(-\infty, 2)$
$f(x) = -(x - 1)^2 + 2$ . On which interval is $f$ increasing?
1. $(-\infty, 1)$
2. $(1, \infty)$
3. $(-\infty, 2)$
$f(x) = -(x - 4)^2 + 8$ . On which interval is $f$ increasing?
1. $(-\infty, 4)$
2. $(4, \infty)$
3. $(-\infty, 8)$
$f(x) = -(x - 3)^2 + 9$ . On which interval is $f$ increasing?
1. $(-\infty, 3)$
2. $(3, \infty)$
3. $(-\infty, 9)$
$f(x) = -(x - 4)^2 + 7$ . On which interval is $f$ increasing?
1. $(-\infty, 4)$
2. $(4, \infty)$
3. $(-\infty, 7)$
$f(x) = -(x - 3)^2 + 6$ . On which interval is $f$ increasing?
1. $(-\infty, 3)$
2. $(3, \infty)$
3. $(-\infty, 6)$
$f(x) = -(x - 4)^2 + 2$ . On which interval is $f$ increasing?
1. $(-\infty, 4)$
2. $(4, \infty)$
3. $(-\infty, 2)$
$f(x) = -(x - 4)^2 + 3$ . On which interval is $f$ increasing?
1. $(-\infty, 4)$
2. $(4, \infty)$
3. $(-\infty, 3)$
$f(x) = -(x - 2)^2 + 3$ . On which interval is $f$ increasing?
1. $(-\infty, 2)$
2. $(2, \infty)$
3. $(-\infty, 3)$
$f(x) = -(x - 4)^2 + 1$ . On which interval is $f$ increasing?
1. $(-\infty, 4)$
2. $(4, \infty)$
3. $(-\infty, 1)$
$f(x) = -(x - 5)^2 + 7$ . On which interval is $f$ increasing?
1. $(-\infty, 5)$
2. $(5, \infty)$
3. $(-\infty, 7)$
$f(x) = -(x - 3)^2 + 7$ . On which interval is $f$ increasing?
1. $(-\infty, 3)$
2. $(3, \infty)$
3. $(-\infty, 7)$
$f(x) = -(x - 4)^2 + 6$ . On which interval is $f$ increasing?
1. $(-\infty, 4)$
2. $(4, \infty)$
3. $(-\infty, 6)$
$f(x) = -(x - 1)^2 + 5$ . On which interval is $f$ increasing?
1. $(-\infty, 1)$
2. $(1, \infty)$
3. $(-\infty, 5)$
$f(x) = -(x - 3)^2 + 1$ . On which interval is $f$ increasing?
1. $(-\infty, 3)$
2. $(3, \infty)$
3. $(-\infty, 1)$
$f(x) = -(x - 2)^2 + 9$ . On which interval is $f$ increasing?
1. $(-\infty, 2)$
2. $(2, \infty)$
3. $(-\infty, 9)$
$f(x) = -(x - 3)^2 + 8$ . On which interval is $f$ increasing?
1. $(-\infty, 3)$
2. $(3, \infty)$
3. $(-\infty, 8)$
$f(x) = -(x - 5)^2 + 6$ . On which interval is $f$ increasing?
1. $(-\infty, 5)$
2. $(5, \infty)$
3. $(-\infty, 6)$
$f(x) = -(x - 1)^2 + 9$ . On which interval is $f$ increasing?
1. $(-\infty, 1)$
2. $(1, \infty)$
3. $(-\infty, 9)$
$f(x) = -(x - 4)^2 + 9$ . On which interval is $f$ increasing?
1. $(-\infty, 4)$
2. $(4, \infty)$
3. $(-\infty, 9)$
$f(x) = -(x - 2)^2 + 8$ . On which interval is $f$ increasing?
1. $(-\infty, 2)$
2. $(2, \infty)$
3. $(-\infty, 8)$
$f(x) = -(x - 5)^2 + 2$ . On which interval is $f$ increasing?
1. $(-\infty, 5)$
2. $(5, \infty)$
3. $(-\infty, 2)$
$f(x) = -(x - 3)^2 + 5$ . On which interval is $f$ increasing?
1. $(-\infty, 3)$
2. $(3, \infty)$
3. $(-\infty, 5)$
$f(x) = -(x - 2)^2 + 5$ . On which interval is $f$ increasing?
1. $(-\infty, 2)$
2. $(2, \infty)$
3. $(-\infty, 5)$
$f(x) = -(x - 1)^2 + 4$ . On which interval is $f$ increasing?
1. $(-\infty, 1)$
2. $(1, \infty)$
3. $(-\infty, 4)$
$f(x) = -(x - 1)^2 + 6$ . On which interval is $f$ increasing?
1. $(-\infty, 1)$
2. $(1, \infty)$
3. $(-\infty, 6)$
$f(x) = -(x - 5)^2 + 9$ . On which interval is $f$ increasing?
1. $(-\infty, 5)$
2. $(5, \infty)$
3. $(-\infty, 9)$
$f(x) = -(x - 4)^2 + 5$ . On which interval is $f$ increasing?
1. $(-\infty, 4)$
2. $(4, \infty)$
3. $(-\infty, 5)$
$f(x) = -(x - 2)^2 + 1$ . On which interval is $f$ increasing?
1. $(-\infty, 2)$
2. $(2, \infty)$
3. $(-\infty, 1)$
$f(x) = -(x - 2)^2 + 7$ . On which interval is $f$ increasing?
1. $(-\infty, 2)$
2. $(2, \infty)$
3. $(-\infty, 7)$
$f(x) = -(x - 2)^2 + 6$ . On which interval is $f$ increasing?
1. $(-\infty, 2)$
2. $(2, \infty)$
3. $(-\infty, 6)$
$f(x) = -(x - 1)^2 + 8$ . On which interval is $f$ increasing?
1. $(-\infty, 1)$
2. $(1, \infty)$
3. $(-\infty, 8)$
$f(x) = -(x - 5)^2 + 4$ . On which interval is $f$ increasing?
1. $(-\infty, 5)$
2. $(5, \infty)$
3. $(-\infty, 4)$
$f(x) = -(x - 5)^2 + 1$ . On which interval is $f$ increasing?
1. $(-\infty, 5)$
2. $(5, \infty)$
3. $(-\infty, 1)$
$f(x) = -(x - 3)^2 + 4$ . On which interval is $f$ increasing?
1. $(-\infty, 3)$
2. $(3, \infty)$
3. $(-\infty, 4)$
$f(x) = -(x - 2)^2 + 4$ . On which interval is $f$ increasing?
1. $(-\infty, 2)$
2. $(2, \infty)$
3. $(-\infty, 4)$
$f(x) = -(x - 5)^2 + 3$ . On which interval is $f$ increasing?
1. $(-\infty, 5)$
2. $(5, \infty)$
3. $(-\infty, 3)$
$f(x) = -(x - 1)^2 + 3$ . On which interval is $f$ increasing?
1. $(-\infty, 1)$
2. $(1, \infty)$
3. $(-\infty, 3)$
A tank holds 16 liters at time 0 and $61$ liters after 5 minutes. What is the average rate of change of the volume, in liters per minute?
What is the domain of $f(x) = \sqrt{x - 9}$ ? Give it as an interval.
What is the domain of $f(x) = \dfrac{ 9 }{x - 6}$ ? Give it as an interval or a union of intervals.
What is the range of $f(x) = (x - 5)^2 + 9$ ? Give it as an interval.
What is the $x$ -coordinate of the vertex of $y = 3(x + 1)^2 + 4$ ?
What is the smallest value of $y = (x - 9)^2 - 3$ ?
Write a quadratic with vertex $(8, 1)$ and leading coefficient 2, in vertex form.
A table gives $x = 0, 1, 2, 3$ and $y = 4, 12, 36, 108$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 3 at each step
2. Linear: $y$ goes up by 8 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 8, 24, 72, 216$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 3 at each step
2. Linear: $y$ goes up by 16 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 7, 14, 28, 56$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 2 at each step
2. Linear: $y$ goes up by 7 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 5, 15, 45, 135$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 3 at each step
2. Linear: $y$ goes up by 10 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 5, 10, 20, 40$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 2 at each step
2. Linear: $y$ goes up by 5 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 4, 20, 100, 500$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 5 at each step
2. Linear: $y$ goes up by 16 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 2, 4, 8, 16$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 2 at each step
2. Linear: $y$ goes up by 2 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 7, 28, 112, 448$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 4 at each step
2. Linear: $y$ goes up by 21 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 2, 10, 50, 250$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 5 at each step
2. Linear: $y$ goes up by 8 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 6, 30, 150, 750$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 5 at each step
2. Linear: $y$ goes up by 24 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 4, 8, 16, 32$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 2 at each step
2. Linear: $y$ goes up by 4 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 3, 15, 75, 375$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 5 at each step
2. Linear: $y$ goes up by 12 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 8, 16, 32, 64$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 2 at each step
2. Linear: $y$ goes up by 8 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 9, 18, 36, 72$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 2 at each step
2. Linear: $y$ goes up by 9 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 5, 20, 80, 320$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 4 at each step
2. Linear: $y$ goes up by 15 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 7, 35, 175, 875$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 5 at each step
2. Linear: $y$ goes up by 28 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 3, 9, 27, 81$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 3 at each step
2. Linear: $y$ goes up by 6 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 3, 6, 12, 24$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 2 at each step
2. Linear: $y$ goes up by 3 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 7, 21, 63, 189$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 3 at each step
2. Linear: $y$ goes up by 14 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 6, 12, 24, 48$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 2 at each step
2. Linear: $y$ goes up by 6 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 6, 24, 96, 384$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 4 at each step
2. Linear: $y$ goes up by 18 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 9, 45, 225, 1125$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 5 at each step
2. Linear: $y$ goes up by 36 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 4, 16, 64, 256$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 4 at each step
2. Linear: $y$ goes up by 12 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 5, 25, 125, 625$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 5 at each step
2. Linear: $y$ goes up by 20 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 2, 8, 32, 128$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 4 at each step
2. Linear: $y$ goes up by 6 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 2, 6, 18, 54$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 3 at each step
2. Linear: $y$ goes up by 4 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 9, 36, 144, 576$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 4 at each step
2. Linear: $y$ goes up by 27 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 6, 18, 54, 162$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 3 at each step
2. Linear: $y$ goes up by 12 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 8, 32, 128, 512$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 4 at each step
2. Linear: $y$ goes up by 24 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 8, 40, 200, 1000$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 5 at each step
2. Linear: $y$ goes up by 32 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 9, 27, 81, 243$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 3 at each step
2. Linear: $y$ goes up by 18 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 3, 12, 48, 192$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 4 at each step
2. Linear: $y$ goes up by 9 at each step
3. Neither
An exponential function has $g(0) = 9$ and $g(1) = 18$ . Find $g(3)$ .
$f(x) = 57x + 380$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 73x + 397$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 27x + 452$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 41x + 461$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 90x + 394$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 71x + 341$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 70x + 452$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 48x + 332$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 37x + 394$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 82x + 296$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 47x + 267$ and $g(x) = 1.09^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 88x + 401$ and $g(x) = 1.06^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 79x + 459$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 72x + 433$ and $g(x) = 1.09^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 72x + 359$ and $g(x) = 1.06^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 43x + 245$ and $g(x) = 1.08^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 20x + 184$ and $g(x) = 1.03^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 65x + 412$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 33x + 442$ and $g(x) = 1.08^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 89x + 476$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 84x + 492$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 59x + 168$ and $g(x) = 1.08^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 24x + 141$ and $g(x) = 1.08^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 49x + 191$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 49x + 372$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 72x + 393$ and $g(x) = 1.06^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 69x + 378$ and $g(x) = 1.09^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 69x + 272$ and $g(x) = 1.03^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 37x + 373$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 68x + 122$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 85x + 375$ and $g(x) = 1.03^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 86x + 451$ and $g(x) = 1.03^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 47x + 464$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 41x + 149$ and $g(x) = 1.08^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 22x + 463$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 36x + 450$ and $g(x) = 1.08^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 66x + 237$ and $g(x) = 1.08^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 33x + 387$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 43x + 145$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 75x + 433$ and $g(x) = 1.09^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 35x + 196$ and $g(x) = 1.09^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 81x + 370$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 63x + 195$ and $g(x) = 1.07^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 74x + 280$ and $g(x) = 1.07^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 37x + 189$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 52x + 272$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 22x + 228$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 77x + 450$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 86x + 253$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 70x + 179$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
Find the $x$ -intercept of $3x + 6y = 54$ (the value of $x$ where the line crosses the $x$ -axis).
What is the slope of the line $8x + 9y = 17$ ?
The point $(2, y)$ is a solution of $5x + y = 15$ . Find $y$ .
How many solutions has the system $y = 5x + 6$ and $y = 5x + 7$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 9$ and $y = 3x + 11$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 8$ and $y = 4x + 10$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 7$ and $y = 6x + 12$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 7$ and $y = 4x + 9$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 9$ and $y = 5x + 12$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 2$ and $y = 4x + 4$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 5$ and $y = 5x + 9$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 1$ and $y = 3x + 2$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 2$ and $y = 5x + 3$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 4$ and $y = 6x + 5$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 7$ and $y = 5x + 11$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 3$ and $y = 3x + 5$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 2$ and $y = 3x + 5$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 4$ and $y = 5x + 6$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 2x + 5$ and $y = 2x + 9$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 4$ and $y = 5x + 9$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 1$ and $y = 6x + 3$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 2x + 7$ and $y = 2x + 9$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 3$ and $y = 5x + 4$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 6$ and $y = 3x + 8$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 2$ and $y = 4x + 6$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 7$ and $y = 4x + 8$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 2x + 5$ and $y = 2x + 7$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 2$ and $y = 3x + 3$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 5$ and $y = 5x + 6$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 3$ and $y = 5x + 7$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 1$ and $y = 5x + 5$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 2$ and $y = 6x + 3$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 2$ and $y = 3x + 4$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 3$ and $y = 3x + 6$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 2x + 4$ and $y = 2x + 9$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 3$ and $y = 4x + 8$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 8$ and $y = 4x + 12$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 2$ and $y = 4x + 3$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 2$ and $y = 6x + 6$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 5$ and $y = 5x + 8$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 5$ and $y = 3x + 8$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 1$ and $y = 6x + 5$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 9$ and $y = 4x + 12$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 7$ and $y = 3x + 9$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 6$ and $y = 6x + 9$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 1$ and $y = 6x + 6$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 4$ and $y = 6x + 6$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 1$ and $y = 6x + 2$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 5$ and $y = 6x + 6$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 3$ and $y = 3x + 7$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 2x + 6$ and $y = 2x + 7$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 2$ and $y = 6x + 5$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 2x + 6$ and $y = 2x + 8$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 4$ and $12x - 2y = -8$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 4$ and $10x - 2y = -8$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 7$ and $6x - 2y = -14$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 1$ and $8x - 2y = -2$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 6x + 7$ and $12x - 2y = -14$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 6x + 3$ and $12x - 2y = -6$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 4$ and $6x - 2y = -8$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 4$ and $8x - 2y = -8$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 6$ and $8x - 2y = -12$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 6x + 8$ and $12x - 2y = -16$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 3$ and $8x - 2y = -6$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 9$ and $4x - 2y = -18$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 6x + 9$ and $12x - 2y = -18$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 6$ and $6x - 2y = -12$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 7$ and $10x - 2y = -14$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 3$ and $6x - 2y = -6$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 6x + 5$ and $12x - 2y = -10$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 2$ and $10x - 2y = -4$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 2$ and $6x - 2y = -4$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 5$ and $10x - 2y = -10$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 6x + 1$ and $12x - 2y = -2$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 8$ and $8x - 2y = -16$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 2$ and $4x - 2y = -4$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 1$ and $6x - 2y = -2$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 3$ and $10x - 2y = -6$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 6$ and $10x - 2y = -12$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 2$ and $8x - 2y = -4$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 5$ and $8x - 2y = -10$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 9$ and $10x - 2y = -18$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 7$ and $8x - 2y = -14$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 1$ and $4x - 2y = -2$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 3$ and $4x - 2y = -6$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 8$ and $6x - 2y = -16$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 1$ and $10x - 2y = -2$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 6$ and $4x - 2y = -12$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 8$ and $4x - 2y = -16$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 9$ and $6x - 2y = -18$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 4$ and $4x - 2y = -8$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 6x + 2$ and $12x - 2y = -4$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 5$ and $4x - 2y = -10$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 8$ and $10x - 2y = -16$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 9$ and $8x - 2y = -18$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 5$ and $6x - 2y = -10$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 7$ and $4x - 2y = -14$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 6x + 6$ and $12x - 2y = -12$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 2$ and $y = -3x + 9$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 9$ and $y = -3x + 8$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 6$ and $y = -4x + 5$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 2$ and $y = -4x + 5$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 6x + 9$ and $y = -6x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 1$ and $y = -4x + 9$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 7$ and $y = -3x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 2x + 3$ and $y = -2x + 2$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 6x + 2$ and $y = -6x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 9$ and $y = -5x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 7$ and $y = -3x + 3$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 2x + 2$ and $y = -2x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 2x + 3$ and $y = -2x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 2x + 1$ and $y = -2x + 8$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 2$ and $y = -4x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 9$ and $y = -5x + 4$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 1$ and $y = -4x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 6$ and $y = -4x + 8$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 3$ and $y = -5x + 4$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 4$ and $y = -3x + 3$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 7$ and $y = -4x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 6x + 2$ and $y = -6x + 3$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 5$ and $y = -5x + 4$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 6x + 8$ and $y = -6x + 5$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 6$ and $y = -3x + 8$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 2x + 9$ and $y = -2x + 4$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 6$ and $y = -5x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 5$ and $y = -3x + 3$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 6x + 2$ and $y = -6x + 8$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 7$ and $y = -4x + 2$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 7$ and $y = -4x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 6$ and $y = -3x + 5$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 2$ and $y = -3x + 4$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 4$ and $y = -4x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 6x + 7$ and $y = -6x + 1$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 2x + 5$ and $y = -2x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 4$ and $y = -3x + 9$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 3$ and $y = -3x + 9$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 5$ and $y = -5x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 6x + 5$ and $y = -6x + 9$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 8$ and $y = -3x + 1$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 9$ and $y = -4x + 4$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 8$ and $y = -4x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 8$ and $y = -5x + 5$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 2x + 1$ and $y = -2x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 2x + 5$ and $y = -2x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 8$ and $y = -5x + 4$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 3$ and $y = -5x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 3$ and $y = -3x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 8$ and $y = -3x + 5$ ?
1. Exactly one
2. No solution
3. Infinitely many
Which point is a solution of $y > 3x + 3$ ?
1. $(0, 4)$
2. $(0, 3)$
3. $(0, 2)$
Which point is a solution of $y > 5x + 7$ ?
1. $(0, 8)$
2. $(0, 7)$
3. $(0, 6)$
Which point is a solution of $y > 3x + 8$ ?
1. $(0, 9)$
2. $(0, 8)$
3. $(0, 7)$
Which point is a solution of $y > 4x + 6$ ?
1. $(0, 7)$
2. $(0, 6)$
3. $(0, 5)$
Which point is a solution of $y > 3x + 2$ ?
1. $(0, 3)$
2. $(0, 2)$
3. $(0, 1)$
Which point is a solution of $y > 6x + 8$ ?
1. $(0, 9)$
2. $(0, 8)$
3. $(0, 7)$
Which point is a solution of $y > 3x + 5$ ?
1. $(0, 6)$
2. $(0, 5)$
3. $(0, 4)$
Which point is a solution of $y > 5x + 3$ ?
1. $(0, 4)$
2. $(0, 3)$
3. $(0, 2)$
Which point is a solution of $y > 2x + 7$ ?
1. $(0, 8)$
2. $(0, 7)$
3. $(0, 6)$
Which point is a solution of $y > 3x + 7$ ?
1. $(0, 8)$
2. $(0, 7)$
3. $(0, 6)$
Which point is a solution of $y > 3x + 4$ ?
1. $(0, 5)$
2. $(0, 4)$
3. $(0, 3)$
Which point is a solution of $y > 5x + 9$ ?
1. $(0, 10)$
2. $(0, 9)$
3. $(0, 8)$
Which point is a solution of $y > 3x + 9$ ?
1. $(0, 10)$
2. $(0, 9)$
3. $(0, 8)$
Which point is a solution of $y > 2x + 9$ ?
1. $(0, 10)$
2. $(0, 9)$
3. $(0, 8)$
Which point is a solution of $y > 3x + 1$ ?
1. $(0, 2)$
2. $(0, 1)$
3. $(0, 0)$
Which point is a solution of $y > 5x + 6$ ?
1. $(0, 7)$
2. $(0, 6)$
3. $(0, 5)$
Which point is a solution of $y > 4x + 4$ ?
1. $(0, 5)$
2. $(0, 4)$
3. $(0, 3)$
Which point is a solution of $y > 4x + 2$ ?
1. $(0, 3)$
2. $(0, 2)$
3. $(0, 1)$
Which point is a solution of $y > 5x + 8$ ?
1. $(0, 9)$
2. $(0, 8)$
3. $(0, 7)$
Which point is a solution of $y > 2x + 4$ ?
1. $(0, 5)$
2. $(0, 4)$
3. $(0, 3)$
Which point is a solution of $y > 6x + 6$ ?
1. $(0, 7)$
2. $(0, 6)$
3. $(0, 5)$
Which point is a solution of $y > 5x + 2$ ?
1. $(0, 3)$
2. $(0, 2)$
3. $(0, 1)$
Which point is a solution of $y > 5x + 4$ ?
1. $(0, 5)$
2. $(0, 4)$
3. $(0, 3)$
Which point is a solution of $y > 4x + 3$ ?
1. $(0, 4)$
2. $(0, 3)$
3. $(0, 2)$
Which point is a solution of $y > 6x + 1$ ?
1. $(0, 2)$
2. $(0, 1)$
3. $(0, 0)$
Which point is a solution of $y > 6x + 9$ ?
1. $(0, 10)$
2. $(0, 9)$
3. $(0, 8)$
Which point is a solution of $y > 4x + 7$ ?
1. $(0, 8)$
2. $(0, 7)$
3. $(0, 6)$
Which point is a solution of $y > 2x + 1$ ?
1. $(0, 2)$
2. $(0, 1)$
3. $(0, 0)$
Which point is a solution of $y > 6x + 2$ ?
1. $(0, 3)$
2. $(0, 2)$
3. $(0, 1)$
Which point is a solution of $y > 2x + 3$ ?
1. $(0, 4)$
2. $(0, 3)$
3. $(0, 2)$
Which point is a solution of $y > 4x + 5$ ?
1. $(0, 6)$
2. $(0, 5)$
3. $(0, 4)$
Which point is a solution of $y > 6x + 7$ ?
1. $(0, 8)$
2. $(0, 7)$
3. $(0, 6)$
Which point is a solution of $y > 6x + 5$ ?
1. $(0, 6)$
2. $(0, 5)$
3. $(0, 4)$
Which point is a solution of $y > 6x + 3$ ?
1. $(0, 4)$
2. $(0, 3)$
3. $(0, 2)$
Which point is a solution of $y > 5x + 5$ ?
1. $(0, 6)$
2. $(0, 5)$
3. $(0, 4)$
Which point is a solution of $y > 2x + 5$ ?
1. $(0, 6)$
2. $(0, 5)$
3. $(0, 4)$
Which point is a solution of $y > 2x + 2$ ?
1. $(0, 3)$
2. $(0, 2)$
3. $(0, 1)$
Which point is a solution of $y > 3x + 6$ ?
1. $(0, 7)$
2. $(0, 6)$
3. $(0, 5)$
Which point is a solution of $y > 4x + 8$ ?
1. $(0, 9)$
2. $(0, 8)$
3. $(0, 7)$
Which point is a solution of $y > 2x + 8$ ?
1. $(0, 9)$
2. $(0, 8)$
3. $(0, 7)$
Which point is a solution of $y > 6x + 4$ ?
1. $(0, 5)$
2. $(0, 4)$
3. $(0, 3)$
Which point is a solution of $y > 5x + 1$ ?
1. $(0, 2)$
2. $(0, 1)$
3. $(0, 0)$
Which point is a solution of $y > 4x + 9$ ?
1. $(0, 10)$
2. $(0, 9)$
3. $(0, 8)$
Which point is a solution of $y > 2x + 6$ ?
1. $(0, 7)$
2. $(0, 6)$
3. $(0, 5)$
Which point is a solution of $y > 4x + 1$ ?
1. $(0, 2)$
2. $(0, 1)$
3. $(0, 0)$
How do you graph $y \le 6x + 2$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 5$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 5$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 1$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 6$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 4$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 2$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 6x + 7$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 5$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 7$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 5$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 8$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 4$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 8$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 6$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 6x + 1$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 6x + 4$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 7$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 8$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 2$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 1$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 6x + 3$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 7$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 6$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 1$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 6$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 9$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 6x + 5$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 4$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 2$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 3$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 3$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 7$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 3$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 2$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 9$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 9$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 6x + 9$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 6x + 6$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 8$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 4$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 1$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 6x + 8$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 9$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 3$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
Adult tickets cost 15 dollars and child tickets 5 dollars. A group can spend at most 168 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $15x + 5y \le 168$
2. $15x + 5y \ge 168$
3. $15x + 5y < 168$
Adult tickets cost 9 dollars and child tickets 3 dollars. A group can spend at most 126 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $9x + 3y \le 126$
2. $9x + 3y \ge 126$
3. $9x + 3y < 126$
Adult tickets cost 13 dollars and child tickets 4 dollars. A group can spend at most 115 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $13x + 4y \le 115$
2. $13x + 4y \ge 115$
3. $13x + 4y < 115$
Adult tickets cost 9 dollars and child tickets 7 dollars. A group can spend at most 141 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $9x + 7y \le 141$
2. $9x + 7y \ge 141$
3. $9x + 7y < 141$
Adult tickets cost 13 dollars and child tickets 7 dollars. A group can spend at most 124 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $13x + 7y \le 124$
2. $13x + 7y \ge 124$
3. $13x + 7y < 124$
Adult tickets cost 12 dollars and child tickets 7 dollars. A group can spend at most 101 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 7y \le 101$
2. $12x + 7y \ge 101$
3. $12x + 7y < 101$
Adult tickets cost 11 dollars and child tickets 5 dollars. A group can spend at most 101 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $11x + 5y \le 101$
2. $11x + 5y \ge 101$
3. $11x + 5y < 101$
Adult tickets cost 13 dollars and child tickets 4 dollars. A group can spend at most 183 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $13x + 4y \le 183$
2. $13x + 4y \ge 183$
3. $13x + 4y < 183$
Adult tickets cost 8 dollars and child tickets 3 dollars. A group can spend at most 145 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $8x + 3y \le 145$
2. $8x + 3y \ge 145$
3. $8x + 3y < 145$
Adult tickets cost 12 dollars and child tickets 7 dollars. A group can spend at most 157 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 7y \le 157$
2. $12x + 7y \ge 157$
3. $12x + 7y < 157$
Adult tickets cost 12 dollars and child tickets 6 dollars. A group can spend at most 111 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 6y \le 111$
2. $12x + 6y \ge 111$
3. $12x + 6y < 111$
Adult tickets cost 11 dollars and child tickets 3 dollars. A group can spend at most 199 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $11x + 3y \le 199$
2. $11x + 3y \ge 199$
3. $11x + 3y < 199$
Adult tickets cost 8 dollars and child tickets 4 dollars. A group can spend at most 128 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $8x + 4y \le 128$
2. $8x + 4y \ge 128$
3. $8x + 4y < 128$
Adult tickets cost 10 dollars and child tickets 5 dollars. A group can spend at most 155 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $10x + 5y \le 155$
2. $10x + 5y \ge 155$
3. $10x + 5y < 155$
Adult tickets cost 11 dollars and child tickets 5 dollars. A group can spend at most 170 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $11x + 5y \le 170$
2. $11x + 5y \ge 170$
3. $11x + 5y < 170$
Adult tickets cost 11 dollars and child tickets 4 dollars. A group can spend at most 116 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $11x + 4y \le 116$
2. $11x + 4y \ge 116$
3. $11x + 4y < 116$
Adult tickets cost 9 dollars and child tickets 7 dollars. A group can spend at most 113 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $9x + 7y \le 113$
2. $9x + 7y \ge 113$
3. $9x + 7y < 113$
Adult tickets cost 8 dollars and child tickets 3 dollars. A group can spend at most 130 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $8x + 3y \le 130$
2. $8x + 3y \ge 130$
3. $8x + 3y < 130$
Adult tickets cost 11 dollars and child tickets 4 dollars. A group can spend at most 127 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $11x + 4y \le 127$
2. $11x + 4y \ge 127$
3. $11x + 4y < 127$
Adult tickets cost 8 dollars and child tickets 5 dollars. A group can spend at most 198 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $8x + 5y \le 198$
2. $8x + 5y \ge 198$
3. $8x + 5y < 198$
Adult tickets cost 11 dollars and child tickets 4 dollars. A group can spend at most 110 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $11x + 4y \le 110$
2. $11x + 4y \ge 110$
3. $11x + 4y < 110$
Adult tickets cost 14 dollars and child tickets 5 dollars. A group can spend at most 171 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $14x + 5y \le 171$
2. $14x + 5y \ge 171$
3. $14x + 5y < 171$
Adult tickets cost 10 dollars and child tickets 7 dollars. A group can spend at most 169 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $10x + 7y \le 169$
2. $10x + 7y \ge 169$
3. $10x + 7y < 169$
Adult tickets cost 14 dollars and child tickets 4 dollars. A group can spend at most 141 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $14x + 4y \le 141$
2. $14x + 4y \ge 141$
3. $14x + 4y < 141$
Adult tickets cost 12 dollars and child tickets 6 dollars. A group can spend at most 183 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 6y \le 183$
2. $12x + 6y \ge 183$
3. $12x + 6y < 183$
Adult tickets cost 14 dollars and child tickets 4 dollars. A group can spend at most 166 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $14x + 4y \le 166$
2. $14x + 4y \ge 166$
3. $14x + 4y < 166$
Adult tickets cost 10 dollars and child tickets 6 dollars. A group can spend at most 154 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $10x + 6y \le 154$
2. $10x + 6y \ge 154$
3. $10x + 6y < 154$
Adult tickets cost 14 dollars and child tickets 3 dollars. A group can spend at most 182 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $14x + 3y \le 182$
2. $14x + 3y \ge 182$
3. $14x + 3y < 182$
Adult tickets cost 11 dollars and child tickets 7 dollars. A group can spend at most 165 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $11x + 7y \le 165$
2. $11x + 7y \ge 165$
3. $11x + 7y < 165$
Adult tickets cost 12 dollars and child tickets 4 dollars. A group can spend at most 173 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 4y \le 173$
2. $12x + 4y \ge 173$
3. $12x + 4y < 173$
Adult tickets cost 15 dollars and child tickets 3 dollars. A group can spend at most 195 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $15x + 3y \le 195$
2. $15x + 3y \ge 195$
3. $15x + 3y < 195$
Adult tickets cost 8 dollars and child tickets 6 dollars. A group can spend at most 108 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $8x + 6y \le 108$
2. $8x + 6y \ge 108$
3. $8x + 6y < 108$
Adult tickets cost 11 dollars and child tickets 7 dollars. A group can spend at most 149 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $11x + 7y \le 149$
2. $11x + 7y \ge 149$
3. $11x + 7y < 149$
Adult tickets cost 14 dollars and child tickets 6 dollars. A group can spend at most 111 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $14x + 6y \le 111$
2. $14x + 6y \ge 111$
3. $14x + 6y < 111$
Adult tickets cost 15 dollars and child tickets 4 dollars. A group can spend at most 196 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $15x + 4y \le 196$
2. $15x + 4y \ge 196$
3. $15x + 4y < 196$
Adult tickets cost 12 dollars and child tickets 6 dollars. A group can spend at most 129 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 6y \le 129$
2. $12x + 6y \ge 129$
3. $12x + 6y < 129$
Adult tickets cost 12 dollars and child tickets 3 dollars. A group can spend at most 194 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 3y \le 194$
2. $12x + 3y \ge 194$
3. $12x + 3y < 194$
Adult tickets cost 15 dollars and child tickets 7 dollars. A group can spend at most 181 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $15x + 7y \le 181$
2. $15x + 7y \ge 181$
3. $15x + 7y < 181$
Adult tickets cost 14 dollars and child tickets 5 dollars. A group can spend at most 198 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $14x + 5y \le 198$
2. $14x + 5y \ge 198$
3. $14x + 5y < 198$
Adult tickets cost 9 dollars and child tickets 3 dollars. A group can spend at most 174 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $9x + 3y \le 174$
2. $9x + 3y \ge 174$
3. $9x + 3y < 174$
Adult tickets cost 9 dollars and child tickets 7 dollars. A group can spend at most 120 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $9x + 7y \le 120$
2. $9x + 7y \ge 120$
3. $9x + 7y < 120$
Adult tickets cost 8 dollars and child tickets 4 dollars. A group can spend at most 115 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $8x + 4y \le 115$
2. $8x + 4y \ge 115$
3. $8x + 4y < 115$
Adult tickets cost 9 dollars and child tickets 6 dollars. A group can spend at most 118 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $9x + 6y \le 118$
2. $9x + 6y \ge 118$
3. $9x + 6y < 118$
Adult tickets cost 8 dollars and child tickets 3 dollars. A group can spend at most 131 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $8x + 3y \le 131$
2. $8x + 3y \ge 131$
3. $8x + 3y < 131$
Adult tickets cost 9 dollars and child tickets 6 dollars. A group can spend at most 146 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $9x + 6y \le 146$
2. $9x + 6y \ge 146$
3. $9x + 6y < 146$
Adult tickets cost 15 dollars and child tickets 4 dollars. A group can spend at most 150 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $15x + 4y \le 150$
2. $15x + 4y \ge 150$
3. $15x + 4y < 150$
Adult tickets cost 12 dollars and child tickets 3 dollars. A group can spend at most 149 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 3y \le 149$
2. $12x + 3y \ge 149$
3. $12x + 3y < 149$
Adult tickets cost 12 dollars and child tickets 4 dollars. A group can spend at most 171 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 4y \le 171$
2. $12x + 4y \ge 171$
3. $12x + 4y < 171$
Adult tickets cost 10 dollars and child tickets 5 dollars. A group can spend at most 103 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $10x + 5y \le 103$
2. $10x + 5y \ge 103$
3. $10x + 5y < 103$
Adult tickets cost 12 dollars and child tickets 7 dollars. A group can spend at most 171 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 7y \le 171$
2. $12x + 7y \ge 171$
3. $12x + 7y < 171$

Answers

Exponential
Exponential: the values multiply by 2 each step
Rational, with a vertical asymptote at x = 2
$18$
$(-\infty, 5)$
$9$
$[9, \infty)$
$(-\infty, 6) \cup (6, \infty)$
$[9, \infty)$
$-1$
$-3$
$2 \left(x - 8\right)^{2} + 1$
Exponential: $y$ is multiplied by 3 at each step
$72$
$g$ : exponential growth eventually overtakes linear growth
$18$
$- \frac{8}{9}$
$5$
No solution
Infinitely many
Exactly one
$(0, 4)$
Solid line, shade below
$15x + 5y \le 168$