A conservation organization released 100 animals of an endangered species into a game preserve. The preserve has

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A conservation organization released 100 animals of an endangered species into a game preserve. The preserve has a carrying capacity of 1000 animals. The growth of the pack is modeled by the logistic curve
p(t) = 1000 / 1 + 9e-0.1656t
where t is measured in months (see figure).
1200- 1000- 800 - 600 - 400 - 200 2 4 6 8 10 12 14 16 18 Time (in months) Endangered species population

(a) Estimate the population after 5 months.
(b) After how many months is the population 500?
(c) Use a graphing utility to graph the function. Use the graph to determine the horizontal asymptotes, and interpret the meaning of the asymptotes in the context of the problem.

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