The relative growth rate of world population has been decreasing steadily in recent years. On the basis of this, some population models predict that world population will eventually stabilize at a level that the planet can support. One such logistic model is P(t) = 73.2 6.1 + 5.9e−0.02t where t = 0 is the year 2000 and population is measured in billions. (a) What world population does this model predict for the year 2230? For 2330? (Round your answers to two decimal places.) (b) Sketch a graph of the function P for the years 2000 to 2500.

The relative growth rate of world population has been decreasing steadily in recent years. On the basis of this, some population models predict that world population will eventually stabilize at a level that the planet can support. One such logistic model is P(t) = 73.2 6.1 + 5.9e−0.02t where t = 0 is the year 2000 and population is measured in billions. (a) What world population does this model predict for the year 2230? For 2330? (Round your answers to two decimal places.) (b) Sketch a graph of the function P for the years 2000 to 2500.

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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Differential Equations

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Question

P(t) =

73.2

6.1 + 5.9e^−0.02t

where t = 0 is the year 2000 and population is measured in billions.

(a) What world population does this model predict for the year 2230? For 2330? (Round your answers to two decimal places.)

(b) Sketch a graph of the function P for the years 2000 to 2500.

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