A rare species of insect was discovered in the Amazon Rain Forest.To protect the species, environmentalists declared the insect endangered and transplanted the insect into a protected area. The population P of the insect t months after being transplanted is

(a) How many insects were discovered? In other words, what was the population when t = 0?

(b) What will the population be after 5 years?

(c) Determine the horizontal asymptote of P(t). What is the largest population that the protected area can sustain?

Transcribed Image Text:

50(1 + 0.5t) P(t) 2 + 0.01t