Find the average rate of change from x = 10 to x = 17 for the function f (x) = 0.01 (2) ^x and select the correct answer below.

A) 10.24

B) 185.78

C) 1300.48

D) 1310.72

Your answer would be option B!

For x = 10, f (x) = f (10) = 0.01 (2) ^10 = 10.24

For x = 17, f (x) = f (17) = 0.01 (2) ^17 = 1310.72

Now using formula for the calculation of average rate of change of f (x).

(f (b) - f (a)) / b - a = (f (17) - f (10)) / 17 - 10 = (1310.72 - 10.24) / 7 = 185.78

So option "B" is correct.