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    Differential Equations and Rate of Change

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    A tank initially contains 100 gallons of a solution that holds 10 pounds of a chemical. A solution containing 1 pound of the chemical runs into the tank at a rate of 4 gallons per minute, and the well-mixed mixture runs out of the tank at a rate of 6 gallons per minute.

    a. How much chemical is in the tank after 25 minutes?
    b. How much chemical is in the tank after 50 minutes?

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    A tank initially contains 100 gallons of a solution that holds 10 pounds of a chemical. A solution containing 1 pound of the chemical runs into the tank at a rate of 4 gallons per minute, and the well-mixed mixture runs out of the tank at a rate of 6 gallons per minute.
    Let x(t) (pounds) be the chemical in the tank at time t (minutes).
    And V(t) be the total volume of the solution in the tank.
    First ...

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