The fox population in a certain region has an annual growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 19800. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Your answer is P(t) = (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer should be an integer)
The fox population in a certain region has an annual growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 19800. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Your answer is P(t) = (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer should be an integer)
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
![A population numbers 17,000 organisms initially and grows by 5.3%
each year.
Suppose P represents population and t represents the number of years
of growth. An exponential model for the population can be written in
the form P = abt, where
P =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b3342fe-b335-4689-a0aa-7d956754a511%2Ff91a96e8-bda9-4a69-8e42-b394475aaab3%2Fkry9qqv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A population numbers 17,000 organisms initially and grows by 5.3%
each year.
Suppose P represents population and t represents the number of years
of growth. An exponential model for the population can be written in
the form P = abt, where
P =
![The fox population in a certain region has an annual growth rate of 4
percent per year. It is estimated that the population in the year 2000
was 19800.
(a) Find a function that models the population t years after 2000 (t = 0
for 2000).
Your answer is P(t) =
=
(b) Use the function from part (a) to estimate the fox population in
the year 2008.
Your answer is (the answer should be an integer)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b3342fe-b335-4689-a0aa-7d956754a511%2Ff91a96e8-bda9-4a69-8e42-b394475aaab3%2F657n42q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The fox population in a certain region has an annual growth rate of 4
percent per year. It is estimated that the population in the year 2000
was 19800.
(a) Find a function that models the population t years after 2000 (t = 0
for 2000).
Your answer is P(t) =
=
(b) Use the function from part (a) to estimate the fox population in
the year 2008.
Your answer is (the answer should be an integer)
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