Given that the population of the US was 151 million, 216 million, and 281 million in 1950, 1975, and 2000 respectively, provide the following: (a) A logistic cquation that models population growth given the data above. (b) Use the logistic equation you obtained in part (a) to compute the population of the US in 2022. (c) How close is your calculation to the actual population of the US in 2022? (d) Is the model you constructed a feasible one in the long run? Explain your reasoning.
Given that the population of the US was 151 million, 216 million, and 281 million in 1950, 1975, and 2000 respectively, provide the following: (a) A logistic cquation that models population growth given the data above. (b) Use the logistic equation you obtained in part (a) to compute the population of the US in 2022. (c) How close is your calculation to the actual population of the US in 2022? (d) Is the model you constructed a feasible one in the long run? Explain your reasoning.
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 41E
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![Given that the population of the US was 151 million, 216 million, and 281 million in 1950,
1975, and 2000 respectively, provide the following:
(a) A logistic equation that models population growth given the data above.
(b) Use the logistic equation you obtained in part (a) to compute the population of the US
in 2022.
(c) How close is your calculation to the actual population of the US in 2022?
(d) Is the model you constructed a feasible one in the long run? Explain your reasoning.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e7e13d7-2c25-48d6-9f25-2d30b4c4c479%2F740a2fce-0f98-4418-92c0-fd74884f548c%2Frjg20bb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given that the population of the US was 151 million, 216 million, and 281 million in 1950,
1975, and 2000 respectively, provide the following:
(a) A logistic equation that models population growth given the data above.
(b) Use the logistic equation you obtained in part (a) to compute the population of the US
in 2022.
(c) How close is your calculation to the actual population of the US in 2022?
(d) Is the model you constructed a feasible one in the long run? Explain your reasoning.
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