Fish tank initially contains 35 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 5 liters per minute. The solution is mixed well and drained at 5 liters per minute. Let xx be the amount of salt, in grams, in the fish tank after tt minutes have elapsed. Find a formula for the rate of change in the amount of salt, dx/dtdx/dt, in terms of the amount of salt in the solution

Therefore, the rate of change in the amount of salt is

Explanation:

Given:

Initial volume of water lit

Flowing rate = 5

The rate of change in the amount of salt is given by,

    ( Rate of salt enters tank - rate of sat leaves tank )

Since tank is initially filled with water so we write that,

Let amount of salt in the solution is ,

Therefore, the rate of change in the amount of salt is

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