Smith Chadwick
03/16/2024 · Senior High School
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 22600 . (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 \( P(t)= \) (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)
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(a) \( P(t) = 22600 \times e^{0.04t} \)
(b) The estimated fox population in 2008 is approximately 31123.
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