Population Growth A conservation organization released 100

Chapter , Problem 5.5.43

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Population Growth 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 where is measured in months (see figure). (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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