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
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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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.
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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