Math  /  Algebra

QuestionThe fox population in a certain region has an annual growth rate of 5 percent per year. (Note: Foxes mate once per year.)
It is estimated that the fox population in the year 2020 was 14000. (a) Find an exponential function that models the fox population tt years after 2020 (Note: t=0t=0 for 2020). The function is P(t)=P(t)= \square (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 \square foxes in the year 2028.

Studdy Solution
Since the population must be an integer, round 20684.37 20684.37 to the nearest whole number. Thus, the estimated fox population in 2028 is 20,684.
The exponential function is: P(t)=14000×(1.05)t P(t) = 14000 \times (1.05)^t
The estimated fox population in 2028 is: 20684 \boxed{20684}

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