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.
