# The average rate of change of population between x = 20 and x = 40 from the given graph. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2.4, Problem 24E

(a)

To determine

## To find: The average rate of change of population between x=20 and x=40 from the given graph.

Expert Solution

The average rate of change of population between x=20 and x=40 is 0 person/year.

### Explanation of Solution

Formula used:

Average rate of change of function y=f(x) between x=a and x=b is as follows,

Averagerateofchange=ChangeinyChangeinxAveragerateofchange=f(b)f(a)ba (1)

Calculation:

The given graph shows the population P in a small industrial city from 1950 to 2000.

From the given graph the corresponding value of x=20 is 40 and for x=40 is 40.

Substitute 40 for f(a), 40 for f(b), 20 for a and 40 for b in equation (1).

Averagerateofchange=40404020=020=0

Therefore, average rate of change of P between x=20 and x=40 is 0 person/year.

(b)

To determine

Expert Solution