29. 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(t) Eva %D 6.1 + 5.9e-0.02t where t = 0 is the year 2000 and population is measured in %3D 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. bas (c) According to this model, what size does the world popu- lation seem to approach as time goes on?

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 2TI: Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time...
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only do a) and c)

29. 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(t)
Eva
%D
6.1 + 5.9e-0.02t
where t = 0 is the year 2000 and population is measured in
%3D
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.
bas
(c) According to this model, what size does the world popu-
lation seem to approach as time goes on?
Transcribed Image Text:29. 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(t) Eva %D 6.1 + 5.9e-0.02t where t = 0 is the year 2000 and population is measured in %3D 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. bas (c) According to this model, what size does the world popu- lation seem to approach as time goes on?
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