Determine the average rate of change for the function. h(x) = -3/4x + 1.

Question

A. -3/4.

B. 3/4.

C. -1.

D. 1.

Answer 1

Hello Steven,

The function you're given for h(x)... is a linear function [ see how it looks like mx + b? m = slope, which equals -3/4 here]

As a rule of thumb, the average rate of change of a linear function is the slope of that linear function.

What is the slope of (-3/4)*x +1? It is -3/4. Therefore, the average rate of change of h(x) is -3/4.

Cheers.