BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1.5, Problem 33E
To determine

To model:The population of the world with data from 19502000 and then estimate the in 1993 and predict the population in the year 2010 .

Expert Solution

Explanation of Solution

The model of the population for the year 1950 to 2000 is shown in graph below.

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.5, Problem 33E

Figure (1)

The best fitting exponential model for the data is,

  y=534.35(1.02296)x+1034.22 ....... (1)

Substitute 93 for x in equation (1).

  y=534.35(1.02296)93+1034.22=5446.935447

Substitute 110 for x in equation (1).

  y=534.35(1.02296)110+1034.22=7525.157525

Therefore, the exponential model is y=534.35(1.02296)x+1034.22 , the estimated population in year 1993 is 5447 and predicted population is 7525 .

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