Starting with an initial value of P(0) = 25, the population of a prairie dog community grows at a rate of P'(t) = 20 - t/5 (in units of prairie dogs/month), for 0 ≤ t ≤ 100.
a. What is the population 13 months later?
b. Find the population P(t) for 0 ≤ t ≤ 100.
a. After 13 months, the population is prairie dogs.
(Type a whole number. Round to the nearest prairie dog as needed.)
b. The population P(t) for 0 ≤ t ≤ 100 is P(t) =