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A habitat of prairie dogs can support $m$ dogs at most.$\newline$The habitat's population, $p$, grows proportionally to the product of the current population and the difference between $m$ and $p$.$\newline$Which equation describes this relationship?$\newline$Choose $1$ answer:$\newline$(A) $\frac{d p}{d t}=\frac{k p}{m-p}$$\newline$(B) $\frac{d p}{d t}=k m(m-p)$$\newline$(C) $\frac{d p}{d t}=k p(m-p)$$\newline$(D) $\frac{d p}{d t}=\frac{k m}{m-p}$