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A tank contains 100L of water. A solution with a salt concentration of 0.8kg/L is added at a rate of 7L/min. The solution is kept thoroughly mixed and is drained from the tank at a rate of 5L/min. Answer the following questions.
1. If y(t) is the amount of salt (in kilograms) after tt minutes, what is the differential equation for which yy is satisfied? Use the variable y for y(t).
Answer (in kilograms per minute): dy/dt=
2
2. How much salt is in the tank after 50 minutes?
Answer (in kilograms)
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