The relative growth rate of world population has been decreasing steadily in recent years. On the basis of this, some popula 73.2 P(t) %3D 6.1 + 6.1e -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 2220? For 2320? (Round your answers to two decima 2220 Xbillion 2320 X billion (b) Sketch a graph of the function P for the years 2000 to 2500. 14 14 12 12 10 10 8 8 6. 4 4 2 2 100 200 300 400 500 100 200 300 400 P. 14 14 12 12 10 10 P.
The relative growth rate of world population has been decreasing steadily in recent years. On the basis of this, some popula 73.2 P(t) %3D 6.1 + 6.1e -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 2220? For 2320? (Round your answers to two decima 2220 Xbillion 2320 X billion (b) Sketch a graph of the function P for the years 2000 to 2500. 14 14 12 12 10 10 8 8 6. 4 4 2 2 100 200 300 400 500 100 200 300 400 P. 14 14 12 12 10 10 P.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer a , b and c .
Transcribed Image Text:The relative growth rate of world population has been decreasing steadily in recent years. On the basis of this, some popula
73.2
P(t) =
6.1 + 6.1e-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 2220? For 2320? (Round your answers to two decima
2220
X billion
2320
X billion
(b) Sketch a graph of the function P for the years 2000 to 2500.
P
14
14
12
12
10
10
8
8
6.
4
4
2
100
200
300
400
500
100
200
300
400
P.
14
14
12
12
10
10
Transcribed Image Text:(b) Sketch a graph of the function P for the years 2000 to 2500.
14
14
12
12
10
10
8.
8
6.
4
2
2
100
200
300
400
500
100
200
300
400
500
14
14
12
12
10
10
8
8
6
4
4
2
2
100
200
300
400
500
100
200
300
400
500
(c) According to this model, what size does the world population seem to approach as time goes on?
billion
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