Answer: C. 27.3
Step-by-step explanation:
The average rate of function f(x) from x = a to x = b is given by :-
[tex]k=\dfrac{f(b)-f(a)}{b-a}[/tex]
The given function : [tex]f(x) = 0.01(2)^x[/tex]
Now, the average rate of function f(x) from x = 3 to x = 15 is given by :-
[tex]k=\dfrac{f(15)-f(3)}{15-3}\\\\\Rightarrow\ k=\dfrac{0.01(2)^{15}-0.01(2)^3}{12}\\\\\Rightarrow\ k=27.3[/tex]
Hence, the average rate of change from x = 3 to x = 15 for the given function = 27.3 .
