Question

Please help ASAP! Worth 9 points!!! Thanks!!!

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.
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

evaluate
A is x=0 and x=1
f(0)=0
f(1)=5
rate of change is (5-0)/(1-0)=5

B is x=2 and x=3
f(2)=10
f(3)=15
rate of change is (15-10)/(3-2)=5/1=5

the rates are the same

it is 1 times greater
none is greater becaseu it is a linear function