Miss Kito made a large donation to protect a rare species of mosquito that environmentalists declared endangered. Thanks to Miss Kito’s generosity, the insects were transplanted to a protected 1. area. The population P (in thousands) of the insect in t months after being transplanted is: 50(1+0.05t) P(t) = . What is the limiting factor on the insect population as time progresses? Explain 2+0.01t your answer using a complete sentence and appropriate units. (Hint: consider the Horizontal Asymptote of the function.)

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Chapter1: Combinatorial Analysis
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1. [Name Redacted] Miss Kito made a large donation to protect a rare species of mosquito that environmentalists declared endangered. Thanks to Miss Kito’s generosity, the insects were transplanted to a protected area. The population \( P \) (in thousands) of the insect in \( t \) months after being transplanted is:

\[
P(t) = \frac{50(1 + 0.05t)}{2 + 0.01t}
\]

What is the limiting factor on the insect population as time progresses? Explain your answer using a complete sentence and appropriate units. (Hint: consider the Horizontal Asymptote of the function.)
Transcribed Image Text:1. [Name Redacted] Miss Kito made a large donation to protect a rare species of mosquito that environmentalists declared endangered. Thanks to Miss Kito’s generosity, the insects were transplanted to a protected area. The population \( P \) (in thousands) of the insect in \( t \) months after being transplanted is: \[ P(t) = \frac{50(1 + 0.05t)}{2 + 0.01t} \] What is the limiting factor on the insect population as time progresses? Explain your answer using a complete sentence and appropriate units. (Hint: consider the Horizontal Asymptote of the function.)
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