Question

Given the function f(x) = 5x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other

Answer 1

Average rate of change of section A = (f(1) - f(0))/ (1 - 0) = (5(1) - 5(0))/(1 - 0) = (5 - 0)/1 = 5
Average rate of change of section B = (f(3) - f(2))/(3 - 2) = (5(3) - 5(2))/(3 - 2) = (15 - 10)/1 = 5

Average rate of change of section B is equal to that of section A.