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

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

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

To evaluate: The interpretation of average rate of change in part (a).

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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