(a) Use the fact that the population was 250 million in 1990 (t = 0) to formulate a logistic model for the US population. (Assume the carrying capacity is 4750 million. Assume P is the population in millions, k is the relative growth rate, and t is the time in years since 1990.) P(t) = (b) Determine the value of k in your model by using the fact that the population in 2000 was 275 million. (Round your answer to eight decimal places.) k = (c) Use your model to predict the US population in the years 2100 and 2200. (Round your answers to the nearest person.) year 2100 P = million year 2200 P = million (d) Use your model to predict the year in which the US population will exceed 350 million.

(a) Use the fact that the population was 250 million in 1990 (t = 0) to formulate a logistic model for the US population. (Assume the carrying capacity is 4750 million. Assume P is the population in millions, k is the relative growth rate, and t is the time in years since 1990.) P(t) = (b) Determine the value of k in your model by using the fact that the population in 2000 was 275 million. (Round your answer to eight decimal places.) k = (c) Use your model to predict the US population in the years 2100 and 2200. (Round your answers to the nearest person.) year 2100 P = million year 2200 P = million (d) Use your model to predict the year in which the US population will exceed 350 million.

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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