Problem #7: A large tank contains 50 litres of water in which 18 grams of salt is dissolved. Brine containing 15 grams of salt per litre is pumped into the tank at a rate of 7 litres per minute. The well mixed solution is pumped out of the tank at a rate of 2 litres per minute. Problem #7(a): (a) Find an expression for the amount of water in the tank after t minutes. (b) Let x(1) be the amount of salt in the tank after t minutes. Which of the following is a differential equation for x(t)? 105 - 2x), (B) 50+ (A) = 105 = - Enter your answer as a symbolic function of t, as in these examples 14 2x(1) 3047, (C) 50+ 7t ½ ± 7x(1) (E) = 14 - ¹x(1) (F) = 14 - 3x (G) 50 +7t = 7 - 3x(1) (D) dx = 105 - ²x(t) = 7 - 2x(1) 50+7t (H) - = 105 7x(1) 50+ 5t

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