   Chapter 1.4, Problem 36E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# The table gives the population of the United States, in millions, for the years 1900- 2010. Use a graphing calculator with exponential regression capability to model the US population since 1900. Use the model to estimate the population in 1925 and to predict the population in the year 2020. To determine

To find: The population in the year 2020.

Explanation

Calculation:

Consider the given table as follows,

 Year Population 0 76 10 92 20 106 30 123 40 131 50 150 60 179 70 203 80 227 90 250 100 281 110 310

Use the online graphing calculator, obtain the exponential regression model as y(x)=83.7727(1.0121769)x , which is shown in Figure 1.

The population in the year 2020 as follows,

An initial year population is 76 million.

The general form of the population is y(x)=83.7727(1.0121769)x

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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 