Let the population of rabbits surviving at a time t be governed by the differential equation $\frac{dp(t)}{dt} = \frac{1}{2} p(t) - 200$ . If $p(0) = 100$, then $p(t)$ equals

Question

( A ) $400 - 300 e^{-t/2}$
( B ) $600 - 500 e^{t/2}$
( C ) $400 - 300 e^{t/2}$
( D ) $300 - 200 e^{-t/2}$