A tank contains 240 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 6 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t. A(t) =

Step-by-step explanation:

A tank contains 240 liters of fluid in which 20 grams of salt is dissolved.

Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 6 L/min

(concentration of salt in inflow)(input rate of fluid)

(concentration of salt in outflow)(output rate of fluid)

Rate of change of the amount of salt in the tank:

We then solve the resulting differential equation by separation of variables.

Taking the integral of both sides

Recall that when t=0, A(t)=20 (our initial condition)

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3