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

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.