Starting with an initial value of P(0) = 50, the population of a prairie dog community grows at a rate of P'(t) = 20-5 (in units of prairie dogs/month), for 0 ≤t≤ 100. a. What is the population 10 months later? b. Find the population P(t) for 0 st≤ 100. a. After 10 months, the population is prairie dogs. (Type a whole number. Round to the nearest prairie dog as needed.)

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