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Laabri

M1T2 Lesson 6 Skills Practice: Making Sense of Different Representations of a Linear Function

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1.

The value of y is directly proportional to the value of x.

When x = 3, y = 12. What is the value of y when x = 13?

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2.

The value of y is directly proportional to the value of x.

When x = 7, y = 17.5. What is the value of x when y = 30?

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3.

Linh mows lawns in his neighborhood to earn money. The amount of money he earns varies directly with the number of lawns he mows. When he mows 10 lawns, Linh makes $100. How much money would Linh make if he mowed 6 lawns?

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4.

James is driving to visit a college campus. The distance he drives is directly proportional to the amount of time he has traveled. When James has driven 2 hours he has traveled 130 miles. How long has he been driving if he traveled 195 miles.

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Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Catalina is selling coupon books to raise money for her school. The amount of money she raises is directly proportional to the number of books she sells. If Catalina sells 5 books, she raises 162.50. How much money would Catalina raise for her school if she sells 17 books?

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Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Juliana is shopping for earrings. The amount of money she spends varies directly with the number of pairs of earrings she buys. When Juliana buys 2 pairs of earrings, she will spend $45.20. When Juliana spent $113 on earrings, how many pairs did she buy?

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Asemmisa {{asɛmmisaAhyɛnsode}}
7.

For $p(x)=-2x+5$, determine:

$p(5):$

$p(0):$

$p(-\frac{1}{2})$

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

For $a(x)=5$, determine:

$a(-3):$

$a(\frac{1}{4}):$

$a(5)$:

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9.

For $g(x)=0.75x-1.2$, determine:

$g(8):$

$g(-2):$

$g(0)$:

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

For $t(x)=\frac{2}{3}x$, determine:

$t(9):$

$t(-7):$

$t(\frac{3}{5})$:

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11.

For $b(x)=-1.8x$, determine:

$b(-6.3):$

$b(12):$

$b(-\frac{1}{3})$:

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22.

Solve the equation.

$\frac{1}{3}x+2=11$

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23.

Solve the equation.

$-5p-12=19$

Show all work.

Use the graph to determine when $f(x)=5$ and the value of $f(5)$.

f(x) = 5 when x =

f(5) =

Use the graph to determine when $f(x)=4$ and the value of $f(4)$.

f(x) = 4 when x =

f(4) =

Use the graph to determine when $f(x)=0$ and the value of $f(0)$.

f(x) = 0 when x =

f(0) =

For the given graph, determine the following:

y-intercept:

x-intercept:

slope:

equation in slope-intercept form:

For the given graph, determine the following:

y-intercept:

x-intercept:

slope:

equation in slope-intercept form:

For the given graph, determine the following:

y-intercept:

x-intercept:

slope:

equation in slope-intercept form:

For the given graph, determine the following:

y-intercept:

x-intercept:

slope:

equation in slope-intercept form:

For the given graph, determine the following:

y-intercept:

x-intercept:

slope:

equation in slope-intercept form:

For the given graph, determine the following:

y-intercept:

x-intercept:

slope:

equation in slope-intercept form:

Determine the association for the following graphs.

The graph has a linear association.

The graph has a linear association.