# For f(x) = 0.01(2)^{x}, find the average rate of change from x = 3 to x = 8.

0.08, 0.426, 2.48, 5

**Solution:**

Given f(x) = 0.01(2)^{x} ; (a, b) =(3, 8)

To find the average rate of change, we divide the change in y(output) by the change in x(input).

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

f(b)= f(10) = 0.01(2)^{8} = 0.01(256) = 2.56

f(a) = f(3) = 0.01(2)^{3} = 0.08

Average rate of change = {0.01(2)^{8} - 0.01(2)^{3}}/(8 - 3)

= {2.56 - 0.08}/5

= 2.48/5

= 0.496

## For f(x) = 0.01(2)^{x}, find the average rate of change from x = 3 to x = 8.

**Summary:**

The average rate of change from x = 2 to x = 8 for function f(x) = 0.01(2)^{x} is 0.0.496

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