Population Growth The population of the United States was 76 million people in 1900 and

Chapter 6, Problem 60

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Population Growth The population of the United States was 76 million people in 1900 and reached 300 million people in 2006. From 1900 through 2006, assume the population of the United States can be modeled by logistic growth with a limit of 839.1 million people. (Source: U.S. Census Bureau)(a) Write a differential equation of the formwhere represents the population of the United States (in millions of people) and represents the number of years since 1900.(b) Find the logistic growth model for this population.(c) Use a graphing utility to graph the model from part (b). Then estimate the year in which the population of the United States will reach 400 million people.

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