Question

This table shows values that represent an exponential function. What is the average rate of change for this function for the interval from x=3 to x=5?

Answer 1

Answer: The average rate of change for this function for the interval from x=3 to x=5 is 12.

Explanation:

Complete question is provided in the attachment below.

Formula: The average rate of change for this function y=f(x) for the interval from x= a to x= b :

`Rate =(f(b)-f(a))/(b-a)`

Let y= f(x) for the given table:

At x= 3 , f(3)=8 and f(5)=32

Then, the average rate of change for this function for the interval from x=3 to x=5:

`Rate=(f(5)-f(3))/(5-3)\\\\=(32-8)/(2)\\\\=(24)/(2)=12`

Hence, the average rate of change for this function for the interval from x=3 to x=5 is 12. (Option A is correct.)