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


Asked by maham237 @ in Mathematics viewed by 379 People


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

Answered by maham237 @



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


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