Initially 5 grams of salt are dissolved into 30 liters of water. Brine with concentration of salt 5 grams per liter is added at a rate of 3 liters per minute. The tank is well mixed and drained at 3 liters per minute.
  1. Let be the amount of salt, in grams, in the solution after minutes have elapsed. Find a formula for the rate of change in the amount of salt, , in terms of the amount of salt in the solution .
    grams/minute

  2. Find a formula for the amount of salt, in grams, after minutes have elapsed.
    grams

  3. How long must the process continue until there are exactly 25 grams of salt in the tank?
    minutes

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