# To model: The population of the world with data from 1950 − 2000 and then estimate the in 1993 and predict the population in the year 2010 .

### Single Variable Calculus: Concepts...

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

### 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 1950−2000 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.

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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