A rare species of insect was discovered in the Amazon Rain Forest. 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 the equation below. (a) How many insects were discovered? (ie: What was the population when t = 0?)insects(b) What will the population be after 2 years?insects(c) Determine the horizontal asymptote of P(t).y = (d) What is the largest population that the protected area can sustain?insects A rare species of insect was discovered in the Amazon Rain Forest. To protect the species, environmentalists declare theinsect endangered and transplant the insects into a protected area. The population of the insect t months after beingtransplanted is given by the equation below.34 (1+ 0.5t)P (t) =2+ 0.01t(a) How many insects were discovered? (ie: What was the population when t = 0?)insects(b) What will the population be after 2 years?insects(c) Determine the horizontal asymptote of P(t).(d) What is the largest population that the protected area can sustain?insects

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Answered: A rare species of insect was discovered…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.2: Applied Problems

Problem 37E

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A rare species of insect was discovered in the Amazon Rain Forest. 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 the equation below. (a) How many insects were discovered? (ie: What was the population when t = 0?)
insects

(b) What will the population be after 2 years?
insects

(c) Determine the horizontal asymptote of P(t).
y =

(d) What is the largest population that the protected area can sustain?
insects

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