Often environmentalists capture an endangered species and transport the species to a controlled environment where the species can produce offspring and regenerate its population.Suppose that six American bald eagles are captured, transported to Montana, and set free. Based on experience, the environmentalists expect the population to grow according to the model

where t is measured in years.

(a) Determine the carrying capacity of the environment.

(b) What is the growth rate of the bald eagle?

(c) What is the population after 3 years?

(d) When will the population be 300 eagles?

(e) How long does it take for the population to reach one half of the carrying capacity?

Transcribed Image Text:

500 P(t) I + 83.33e-0.162t