314page 57. A rare species of insect was discovered in the rain forest. In order to protect the species,environmentalists declare the insect endangered and transplant the insects into a protected area.The population of the insect t months after being transplanted is given by P(t).Lab Module 360(1+0.4t)0.01t+3a. How many insects were discovered? In other words, what was the population when t = 0?P(t) =b. What will the population be after 5 years? Round to the nearest whole insect.c. Determine the horizontal asymptote of P(t).Describe what the horizontal asymptote means in the context of the problem. Use the value ofthe horizontal asymptote in the explanation. Answer in a complete sentence using propergrammar and correct spelling.d. Sketch the graph of P(t).

NOTE: As per bartleby guidelines only three sub part is allowed to solve so i am solving first three…

7. A rare species of insect was discovered in the rain forest. In order to protect the species, environmentalists declare the insect endangered and transplant the insects into a protected area. The population of the insect t months after being transplanted is given by P(t). P(t) = page 5 60(1+0.4t) 0.01t+3 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? Round to the nearest whole insect. c. Determine the horizontal asymptote of P(t). Describe what the horizontal asymptote means in the context of the problem. Use the value of the horizontal asymptote in the explanation. Answer in a complete sentence using proper grammar and correct spelling. d. Sketch the graph of P(t).