Question

Look at the function table below.
x y
-5 -2
0 8
5 18
10 28
Which expression defines a function with a greater rate of change than the function shown in the table?



A.
-x + 20

B.
-x + 13

C.
-4(-x + 3)

D.
-5(-0.3x + 1)

Answer 1

Answer:

C. $\displaystyle -4(-x + 3)$

Step-by-step explanation:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m$

Using this formula will help you determine which rate of change [slope] is the greatest:

$\displaystyle \frac{2 + 8}{5 ± 0} = \frac{10}{5} = 2$

This tells you that when −x is multiplied by −4, you get 4, and since 2 is less than 4, you have your answer.

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