Answer:
Option b. 0.496
Step-by-step explanation:
we know that
[tex]f(x)=0.01(2^{x})[/tex]
The average rate of change is equal to
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
where
[tex]a=3[/tex]
[tex]b=8[/tex]
[tex]f(a)=f(3)=0.01(2^{3})=0.08[/tex]
[tex]f(b)=f(8)=0.01(2^{8})=2.56[/tex]
Substitute
[tex]\frac{2.56-0.08}{8-3}[/tex]
[tex]\frac{2.48}{5}[/tex]
[tex]0.496[/tex]
