Solve the problem.A 200 gallon tank is filled with pure water. A salt solution with a concentration of 16 g/gal flows into the tank at a rate of 3 gal/min. The thoroughly mixed solution is drained from the tank at a rate of 3 gal/min.(a) Write an initial value problem for the mass of the salt.(b) Solve the initial value problem.
A. (a) m'(t) = -0.015m + 3200, m(0) = 200
(b) m = 3200e-0.015t + 48
B. (a) m'(t) = 0.015m - 48, m(0) = 16
(b) m = -48e0.015t + 48
C. (a) m'(t) = -0.015m + 48, m(0) = 0
(b) m = -3200e-0.015t + e-0.015
D. (a) m'(t) = -0.015m + 48, m(0) = 0
(b) m = -3200e-0.015t + 3200
Answer: D
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