Initially 10 grams of salt are dissolved into 30 liters of water. Brine with concentration of salt 4 grams per liter is added at a rate of 6 liters per minute. The tank is well mixed and drained at 6 liters per minute.

A)Let x be the amount of salt, in grams, in the solution after t minutes have elapsed. Find a formula for the incremental change in the amount of salt, Δx, in terms of the amount of salt in the solution x and the incremental change in time Δt. Enter Δt as Deltat.

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

Question

Initially 10 grams of salt are dissolved into 30 liters of water. Brine with concentration of salt 4 grams per liter is added at a rate of 6 liters per minute. The tank is well mixed and drained at 6 liters per minute.

A)Let x be the amount of salt, in grams, in the solution after t minutes have elapsed. Find a formula for the incremental change in the amount of salt, Δx, in terms of the amount of salt in the solution x and the incremental change in time Δt. Enter Δt as Deltat.

B)Find a formula for the amount of salt, in grams, after t minutes have elapsed.