Question

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

Answer 1

Answer:

0.496

Step-by-step explanation:

Answer 2

Answer:

Option b. 0.496

Step-by-step explanation:

we know that

$f(x)=0.01(2^{x})$

The average rate of change is equal to

$\frac{f(b)-f(a)}{b-a}$

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

$\frac{2.56-0.08}{8-3}$

$\frac{2.48}{5}$

$0.496$