Question

For f(x) = 0.01(2)x, find the average rate of change from x = 3 to x = 8.

a. 0.08
b. 0.496
c. 2.48
d. 5

Answer 1

0.496

Explanation:

Answer 2

Option b. 0.496

Explanation:

we know that

`f(x)=0.01(2^(x))`

The average rate of change is equal to

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

where

`a=3`

`b=8`

`f(a)=f(3)=0.01(2^(3))=0.08`

`f(b)=f(8)=0.01(2^(8))=2.56`

Substitute

`(2.56-0.08)/(8-3)`

`(2.48)/(5)`

`0.496`