The fox population in a certain region has a continuous growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 7200. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t) = 7200 x (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer) 9854 X

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 61SE: The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012,...
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The fox population in a certain region has a continuous growth rate of 4 percent per year. It is estimated
that the population in the year 2000 was 7200.
(a) Find a function that models the population t years after 2000 (t = 0 for 2000).
Hint: Use an exponential function with base e.
Your answer is P(t) = 7200
x
(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer must be an integer) 9854
X
Transcribed Image Text:The fox population in a certain region has a continuous growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 7200. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t) = 7200 x (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer) 9854 X
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