(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.) P(t) = millions (b) Determine the value of k in your model by using the fact that the population in 2010 was 309 million. k= (c) Use your model to predict the US population in the years 2100 and 2400. (Round your answers to the nearest integer.) year 2100 million year 2400 million (d) Use your model to predict the year in which the US population will exceed 600 million. (Round your answer down to the nearest year.)
(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.) P(t) = millions (b) Determine the value of k in your model by using the fact that the population in 2010 was 309 million. k= (c) Use your model to predict the US population in the years 2100 and 2400. (Round your answers to the nearest integer.) year 2100 million year 2400 million (d) Use your model to predict the year in which the US population will exceed 600 million. (Round your answer down to the nearest year.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(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.)
P(t) =
millions
(b) Determine the value of k in your model by using the fact that the population in 2010 was 309 million.
k=
(c) Use your model to predict the US population in the years 2100 and 2400. (Round your answers to the nearest integer.)
year 2100
million
year 2400
million
(d) Use your model to predict the year in which the US population will exceed 600 million. (Round your answer down to the nearest year.)
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