Question

For f(x) = 0.02(2)^x find the average rate of change from x= 3 to x= 8

1) 0.08
2) 0.496
3) 2.48
4) 5

Answer 1

None of the offered choices is correct.

f(3) = 0.02·2³ = 0.02·8 = 0.16

f(8) = 0.02·2⁸ = 0.02·256 = 5.12

Then the average rate of change is

... (f(8) - f(3))/(8 - 3) = (5.12 -0.16)/5 = 4.96/5 = 0.992