Question

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

Answer 1

The answer is B, 0.496. Hope this helps.

Answer 2

Answer with explanation:

`\rightarrow f(x)=0.01 * (2)^x \\\\\rightarrow f(3)=0.01 * 2^3\\\\=0.08\\\\\rightarrow f(8)=0.01 * 2^8\\\\=0.01 * 256\\\\=2.56`

Average rate of Change

`=(y_(2)-y_(1))/(x_(2)-x_(1))\\\\=(f(8)-f(3))/(8-3)\\\\=(2.56-0.08)/(5)\\\\=(2.48)/(5)\\\\=0.496`

Option B= 0.496