The fox population in a certain region has an annual growth rate of 6 percent per year. It is estimated that the population in the year 2000 was 21700. (a) Find a function that models the population $t$ years after 2000 ($t = 0$ for 2000). 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 should be an integer)
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The general form of an exponential growth function is $P(t) = P_0 (1 + r)^t$, where: - $P(t)$ is the population at time $t$. - $P_0$ is the initial population (at $t=0$). - $r$ is the annual growth rate (as a decimal). - $t$ is the number of years. From the Show more…
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