Question

f(n) = 8(1.05)n
What is the average rate of change of the function f(n) from n = 2 to n = 6, and what does it represent?

Answer 1

Average rate of change of f(n) = (f(6) - f(2))/(6 - 2) = [8(1.05)(6) - 8(1.05)(2)]/(6 - 2) = (50.4 - 16.8)/4 = 33.6/4 = 8.4

Average rate of change represents the change in f(n) for every one unit change in n.

Answer 2

Answer:

So, the average rate of change is 0.475.

Step-by-step explanation:

If n = 2, then f(n) = 8.82. If n = 6, then f(n) ≈ 10.72. Now, 10.72 – 8.82/ 6 – 2 = 1.9/ 4 = 0.475.