World Population The relative growth rate of world popula- tion 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 73.2 P(1) = 6.1 + 5.9e-0.02, where t = 0 is the year 2000 and population is measured in billions. (a) What world population does this model predict for the year 2200? For 2300? (b) Sketch a graph of the function P for the years 2000 to 2500. (c) According to this model, what size does the world popu- lation seem to approach as time goes on?
World Population The relative growth rate of world popula- tion 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 73.2 P(1) = 6.1 + 5.9e-0.02, where t = 0 is the year 2000 and population is measured in billions. (a) What world population does this model predict for the year 2200? For 2300? (b) Sketch a graph of the function P for the years 2000 to 2500. (c) According to this model, what size does the world popu- lation seem to approach as time goes on?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
Problem 29E
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