The population P of rabbits on a small island

The population P of rabbits on a small island grows at a rate that is jointly proportional to the size of the rabbit population and the difference between the rabbit population and the carrying capacity of the population. If the carrying capacity of the population is 2400 rabbits, which of the following differential equations best models the growth rate of the rabbit population with respect to time t, where k is a constant?

(A) = 2400 – kps
(B) = k (2400 – P)
(C) = k 1/p (2400 – P)
(D) = XP (2400 – P)

Answer:

(D) = XP (2400 – P)

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