The exponential growth of the deer population in the country can be calculated using the model T=20,000(1+.08)^n where 20,000 is the initial deer population and .08 is the rate of growth. T is the total population after n years have passed.
The exponential growth of the deer population in the country can be calculated using the model T=20,000(1+.08)^n where 20,000 is the initial deer population and .08 is the rate of growth. T is the total population after n years have passed.
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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Question
The exponential growth of the deer population in the country can be calculated using the model
T=20,000(1+.08)^n
where
20,000
is the initial deer population and
.08
is the rate of growth. T is the totalpopulation after n years have passed.
Question content area bottom
Part 1
(a) Predict the total population after
2
yr.The total population after
2
yr is about
enter your response here.
(Round to the nearest thousand as needed.)
Part 2
(b) If the initial population was
10,000
and the growth rate was
.12,
approximatelyhow many deer would be present after
3
yr?After
3
yr approximately
enter your response here
deer would be present.(Round to the nearest thousand as needed.)
Part 3
(c) How many additional deer can we expect in
5
yr if the initial population is45,000
and the current growth rate is
.07?
We can expect about
enter your response here
additional deer.(Round to the nearest thousand as needed.)
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