11. THe population of a species of animal in a nature reserve grows by 12.2% each year. Initially there are 200 of the species. (Recall: P = ab*) a. Write an equation for the population of the species as a function of time. Explain why your equation models this situation. b. After 20 years, an epidemic kills all but 200 of the species. After the epidemic, the population grows as it did before. What will be the equation modeling the population after the epidemic? Explain why your equation models this situation.

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