QuestionQuestion 24 The fox population in a certain region has an annual growth rate of 9 percent per year. It is estimated that the population in the year 2020 was 11000. (a) Find a function that models the population $t$ years after 2020 ( $t=0$ for 2020).
Your answer is $P(t)=$ $\square$ (b) Use the function from part (a) to estimate the fox population in the year 2028.
Your answer is (the answer should be an integer) $\square$ Submit Question

Studdy Solution
Substitute $t = 8$ into the population model:
$P(8) = 11000 \times (1.09)^8$
Calculate the result:
$P(8) \approx 11000 \times 1.999004 \approx 21989$
The function that models the population is:
$P(t) = 11000 \times (1.09)^t$
The estimated fox population in 2028 is:
$\boxed{21989}$

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