I'm struggling with this problem and I need some help with it, please? 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 USpopulation. Use it and the fact that the population was250 million in 1990 to formulate a logistic model for theUS population.(b) Determine the value of k in your model by using thefact that the population in 2000 was 275 million.(c) Use your model to predict the US population in the years2100 and 2200.(d) Use your model to predict the year in which the USpopulation will exceed 350 million.

Answered: 7.5: 8 Note that the current US…

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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I'm struggling with this problem and I need some help with it, please?

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.

Expert Solution

Step 1

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.