A reservoir is being refilled after maintenance

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

A reservoir is being refilled after maintenance. Water flows in at a constant rate of 1{,}200 L/h, while evaporation removes water at a rate proportional to the current volume V(t)V(t) in liters at 0.03VV L/h. Which differential equation best models V(t)V(t)? (a) dVdt=−1,200+0.03V\dfrac{dV}{dt}=-1{,}200+0.03V (b) dVdt=1,200+0.03V\dfrac{dV}{dt}=1{,}200+0.03V (c) dVdt=1,200−0.03V\dfrac{dV}{dt}=1{,}200-0.03V (d) dVdt=1,200−0.3V\dfrac{dV}{dt}=1{,}200-0.3V

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