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Let the population of rabbits survivin...

Let the population of rabbits surviving at a time t be governed by the differential equation `(d p(t))/(dt)=1/2p(t)-200.` If `p(0)""=""100` , then p(t) equals (1) `400-300""e^(t//2)` (2) `300-200""e^(-t//2)` (3) `600-500""e^(t//2)` (4) `40-300""e^(-t//2)`

A

`400-300 e^(t/2)`

B

` 300-200 e^(t/2)`

C

` 600-500 e^(t/2)`

D

`400-300 e^(-t/2)`

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A
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