(All Steps) The growth of an animal population is governed by the equation (1000)/(P) (d P)/(d t)=100-P where P(t) is the number of individuals in the colony
Question: The growth of an animal population is governed by the equation
\[\frac{1000}{P} \frac{d P}{d t}=100-P\]where \(P(t)\) is the number of individuals in the colony at time \(t\). The initial population is known to be 200 individuals. Sketch a graph of \(P(t) .\) Will there ever be more than 200 individuals in the colony? Will there ever be fewer than 100 individuals? Explain.
Deliverable: Word Document 
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