(a) Assume that the carrying capacity for the US population is 800 million. Use it and the fact that the population was 282 million in 2000 to formulate a logistic model for the US population. (Let t = 0 correspond to the year 2000. Use k for your constant.) 800 518 -kt 282 P(t) = millions 1+ (b) Determine the value of k in your model by using the fact that the population in 2010 was 309 million. 800 - 1 309 In k = 518 282 10 (c) Use your model to predict the US population in the years 2100 and 2200. (Round your answers to the nearest integer.) year 2100 781.5 X million year 2200 795.6 X million (d) Use your model to predict the year in which the US population will exceed 500 million. (Round your answer down to the nearest year.) 2177

(a) Assume that the carrying capacity for the US population is 800 million. Use it and the fact that the population was 282 million in 2000 to formulate a logistic model for the US population. (Let t = 0 correspond to the year 2000. Use k for your constant.) 800 518 -kt 282 P(t) = millions 1+ (b) Determine the value of k in your model by using the fact that the population in 2010 was 309 million. 800 - 1 309 In k = 518 282 10 (c) Use your model to predict the US population in the years 2100 and 2200. (Round your answers to the nearest integer.) year 2100 781.5 X million year 2200 795.6 X million (d) Use your model to predict the year in which the US population will exceed 500 million. (Round your answer down to the nearest year.) 2177

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Description: (a) Assume that the carrying capacity for the US population is 800 million. Use it and the fact that the population was 282 million in 2000 to formulate a logistic model for the USpopulation. (Let t = 0 correspond to the year 2000. Use k for your co

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...

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