UNDERSTANDING. 4.3.3 Suppose we estimate that a forest can support a population of 10,000 deer and that the population of deer is described by the model an+1 = an +0.00006(10000-an) an where an is the population at the end of year n. b. Suppose we start with a population of 9,000 deer and we allow hunters to kill m deer at the end of each year. Analyze the long term behavior of the population for different values of m. What is the maximum value of m for which the population survives in the long-term?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 13PFA
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Solve the following problem and show your complete solutions
SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS FOR BETTER
UNDERSTANDING.
4.3.3 Suppose we estimate that a forest can support a population of 10,000 deer and that
the population of deer is described by the model an+1 = an +0.00006(10000-an) an where
an is the population at the end of year n.
b. Suppose we start with a population of 9,000 deer and we allow hunters to kill m deer
at the end of each year. Analyze the long term behavior of the population for different
values of m. What is the maximum value of m for which the population survives in
the long-term?
Transcribed Image Text:SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS FOR BETTER UNDERSTANDING. 4.3.3 Suppose we estimate that a forest can support a population of 10,000 deer and that the population of deer is described by the model an+1 = an +0.00006(10000-an) an where an is the population at the end of year n. b. Suppose we start with a population of 9,000 deer and we allow hunters to kill m deer at the end of each year. Analyze the long term behavior of the population for different values of m. What is the maximum value of m for which the population survives in the long-term?
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