Math  /  Algebra

Question2) The fox population in a certain region has an annual growth rate of 8 percent per year. (Note: Foxes mate once per year.) It is estimated that the fox population in the year 2020 was 13500. (a) Find a function that models the fox population tt years after 2020 (Note: t=0t=0 for 2020 ).
The function is P(t)=P(t)= \qquad (b) Use the function from part (a) to estimate the fox population in the year 2028. (The answer should be an integer.) There will be \qquad foxes in the year 2028.

Studdy Solution
The function that models the fox population tt years after 2020 is P(t)=13500(1.08)tP(t) = 13500 \cdot (1.08)^t.
The estimated fox population in the year 2028 is approximately 25000.

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