Question

Select the correct answer.

What is the approximate average rate of change of the function p(x)=(6x-4)/x on the interval [1,3]?

Answer 1

4/3

Explanation:

Given function = p(x) = (6x-4)/x

First we will calculate p(1) and p(3)

p(1) = (6(1) - 4)/1 = 6-4 = 2

p(3) = (6(3) - 4)/3 = (18-4)/3 = 14/3

Rate of change on interval [1,3] = [p(3) - p(1)]/(3-1)

=> (14/3 -2)/(2)

=> (14-6)/(3*2)

=> 8/6

=> 4/3

So average rate of change is 4/3