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. (6 points)

Answer 1

Rate of change is the same as slope. Plug in the given x values yo get the y values. This is your ordered pair.
(0,0) (1,5)
Slope (5-0)/(1-0)=5/1=5
(2,10) (3,15)
Slope (15-10)/(3-2)=(5/1)=5
The slopes are the same