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?
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?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05a639e3-77d0-4fe2-93f4-24b810a234c5%2Fc36494d9-b784-43aa-b9e6-0bf6c5dac5f5%2Fyzut33_processed.png&w=3840&q=75)
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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