Answer:
0.496
Step-by-step explanation:
ƒ(x) = 0.01(2)ˣ
1. Calculate the values of f(3) and f(8)
f(3) = 0.01(2)³ = 0.01 × 8 = 0.08
f(8) = 0.01(2)⁸ = 0.01 × 256 = 2.56
2. Calculate the average rate of change
Rate of change = (y₂ - y₁)/(x₂-x₁) = (2.56 - 0.08)/(8 - 3) =2.48/5 = 0.496
The average rate of change is 0.496.
In the figure below, the red curve represents the function ƒ(x), while the black dashed line represents the average rate of change over the interval [3,8].
