Conservation Science—Fish Propagation: At the request of local anglers, the Graysville gam...

Conservation Science—Fish Propagation: At the request of local anglers, the Graysville game commission decides to stock Lake Mumford with bass. From past data collection, conservation scientists determine that the population of the stocked lake can be modeled by the function

where t represents the number of months since the lake was initially stocked and P(t) represents the population size.

(a) How many bass were initially stocked in the lake?

---

(b) Determine P′(t).

---

(c) Evaluate and interpret P(5) and P′(5).