(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.
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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Transcribed Image Text:(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.
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