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4 votes
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)

User Menda
by
8.1k points

1 Answer

3 votes

Answer:

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.

I am joyous to assist you anytime.

User Mike Schwartz
by
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