Question

What is the average rate of change of the function (x) = 3/7x-2 over the interval x= I4 to x=35?

Answer 1

In this question, we need to get the average rate of change of the function.

f ( x ) = 3/ 7 x - 2

First , we need to get

f ( 14 ) = 3/ 7 ( 14 ) - 2 = 6 -2 = 4

f ( 35 ) = 3/ 7 ( 35 ) - 2 = 15 - 2 = 13

For the average rate of the function: f ( 35 ) - f ( 14 ) / 35 - 14

= 13 - 4 / 21

= 9 / 21