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]?

4/3

Step-by-step 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