(a) Assume that the carrying capacity for the US population is 800 million. Use it and the fact that the population was 282 million in 2000 to formulate a logistic model for the US population. (Let t = 0 correspond to the year 2000. Use k for your constant.) P(t) = millions (b) Determine the value of k in your model by using the fact that the population in 2010 was 309 million. k = (c) Use your model to predict the US population in the years 2300 and 2400. (Round your answers to the nearest integer.) year 2300 million year 2400 million (d) Use your model to predict the year in which the US population will exceed 700 million. (Round your answer down to the nearest year.)
(a) Assume that the carrying capacity for the US population is 800 million. Use it and the fact that the population was 282 million in 2000 to formulate a logistic model for the US population. (Let t = 0 correspond to the year 2000. Use k for your constant.) P(t) = millions (b) Determine the value of k in your model by using the fact that the population in 2010 was 309 million. k = (c) Use your model to predict the US population in the years 2300 and 2400. (Round your answers to the nearest integer.) year 2300 million year 2400 million (d) Use your model to predict the year in which the US population will exceed 700 million. (Round your answer down to the nearest year.)
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) Assume that the carrying capacity for the US population is 800 million. Use it and the fact that the population was 282 million in 2000 to formulate a logistic model for the US population. (Let t = 0 correspond to the year 2000.
Use k for your constant.)
P(t) =
millions
(b) Determine the value of k in your model by using the fact that the population in 2010 was 309 million.
k =
(c) Use your model to predict the US population in the years 2300 and 2400. (Round your answers to the nearest integer.)
year 2300
million
year 2400
million
(d) Use your model to predict the year in which the US population will exceed 700 million. (Round your answer down to the nearest year.)
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