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

BuyFind

### Precalculus: Mathematics for Calcu...

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

### Precalculus: Mathematics for Calcu...

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

#### Solutions

Chapter 2.4, Problem 24E

(a)

To determine

Expert Solution

## Answer to Problem 24E

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

## Answer to Problem 24E

Total population increased is equal to the total population decreased during the interval 1970 to 1990.

### Explanation of Solution

From part (a), the average rate of change of P between x=20 and x=40 is 0 Person/year

It means during the interval of 20 years that is from 1970 to 1990 the total number of population increased is equal to the total number of population decreased.

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