7. Population decay. Since 1990, the population of Gary, Indiana, has been decreasing by 1.87% per year. The rate of change of the city's population P, t years after 1990, is given by dP dt 0.0187P. a. In 1990, the population of Gary was 116,646. (Source: U.S. Census Bureau.) Find an exponential function that models this situation. b. Estimate the population of Gary in 2025. c. What is the rate of change of the population of Gary in 2025? d. After how many years will the population of Gary be half of what it was in 1990?

7. Population decay. Since 1990, the population of Gary, Indiana, has been decreasing by 1.87% per year. The rate of change of the city's population P, t years after 1990, is given by dP dt 0.0187P. a. In 1990, the population of Gary was 116,646. (Source: U.S. Census Bureau.) Find an exponential function that models this situation. b. Estimate the population of Gary in 2025. c. What is the rate of change of the population of Gary in 2025? d. After how many years will the population of Gary be half of what it was in 1990?

Name: 7C and 7D 7. Population decay. Since 1990, the population of Gary, Ind
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Description: 7C and 7D 7. Population decay. Since 1990, the population of Gary, Indiana, has beendecreasing by 1.87% per year. The rate of change of the city's population P, tyears after 1990, is given bydPdt0.0187P.a. In 1990, the population of Gary was 116,646.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...

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