Solve the problem.A 1,000 gallon tank is filled with pure water. A salt solution with a concentration of 11 g/gal flows into the tank at a rate of 8 gal/min. The thoroughly mixed solution is drained from the tank at a rate of 8 gal/min.(a) Write an initial value problem for the mass of the salt.(b) Solve the initial value problem.

Question

A. (a) m'(t) = -0.008m + 88, m(0) = 0
(b) m = -11,000e-0.008t + e-0.008
B. (a) m'(t) = -0.008m + 11,000, m(0) = 1,000
(b) m = 11,000e-0.008t + 88
C. (a) m'(t) = 0.008m - 88, m(0) = 11
(b) m = -88e0.008t + 88
D. (a) m'(t) = -0.008m + 88, m(0) = 0
(b) m = -11,000e-0.008t + 11,000

Answer 1

Answer: D