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

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

Explanation:

`\displaystyle (-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 (2 + 8)/(5 ± 0) = (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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