Question

For f(x) = 0.01(2)x, what is the average rate of change from x = 12 to x = 15?

A. 3
B. 40.96
C. 95.57
D. 286.72

Answer 1

The answer is 95.57...

Answer 2

The average rate of change is the slope of or the first derivative of the expression or you can use the expression following:

Average rate of change = (f(b) - f(a)) / (b - a)

For this case,
b = 15 and a = 12

Average rate of change = 0.01(2)^15 - 0.01(2)^12 / 15 - 12
Average rate of change = 95.57

Therefore, the correct answer is option C.