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7.5: 8 Note that the current US population is 332 million (this problem was written years ago!) 8. (a) Make a guess as to the carrying capacity for the US population. Use it and the fact that the population was 250 million in 1990 to formulate a logistic model for the US population. (b) Determine the value of k in your model by using the fact that the population in 2000 was 275 million. (c) Use your model to predict the US population in the years 2100 and 2200. (d) Use your model to predict the year in which the US population will exceed 350 million.

7.5: 8 Note that the current US population is 332 million (this problem was written years ago!) 8. (a) Make a guess as to the carrying capacity for the US population. Use it and the fact that the population was 250 million in 1990 to formulate a logistic model for the US population. (b) Determine the value of k in your model by using the fact that the population in 2000 was 275 million. (c) Use your model to predict the US population in the years 2100 and 2200. (d) Use your model to predict the year in which the US population will exceed 350 million.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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7.5: 8 Note that the current US population is 332 million (this problem was written years ago!) 8. (a) Make a guess as to the carrying capacity for the US population. Use it and the fact that the population was 250 million in 1990 to formulate a logistic model for the US population. (b) Determine the value of k in your model by using the fact that the population in 2000 was 275 million. (c) Use your model to predict the US population in the years 2100 and 2200. (d) Use your model to predict the year in which the US population will exceed 350 million.
Transcribed Image Text:7.5: 8 Note that the current US population is 332 million (this problem was written years ago!) 8. (a) Make a guess as to the carrying capacity for the US population. Use it and the fact that the population was 250 million in 1990 to formulate a logistic model for the US population. (b) Determine the value of k in your model by using the fact that the population in 2000 was 275 million. (c) Use your model to predict the US population in the years 2100 and 2200. (d) Use your model to predict the year in which the US population will exceed 350 million.
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Given:

Let us consider the given statements,
(a) Make an educated guess of the US population's carrying capacity. Use that, along with the data that the population of the United States was 250 million in 1990, to create a logistic model for the population of the United States.
(b) Using the fact that the population in 2000 was 275 million, calculate the value of k in your model.
(c) Predict the population of the United States in the years 2100 and 2200 using your model.

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