A fish tank initially contains 35 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 2 liters per minute. The solution is mixed well and drained at 2 liters per minute. Let x be the amount of salt, in grams, in the fish tank after t minutes have elapsed. Find a formula for the rate of change in the amount of salt,(dx/dt), in terms of the amount of salt in the solution x and the unknown concentration of incoming brine c. (dx/dt)=? (grams/minute) Find a formula for the amount of salt, in grams, after t minutes have elapsed. Your answer should be in terms of c and t. x(t) = ? grams In 25 minutes there are 20 grams of salt in the fish tank. What is the concentration of salt in the incoming brine? c = ? g/L
A fish tank initially contains 35 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 2 liters per minute. The solution is mixed well and drained at 2 liters per minute.
Let x be the amount of salt, in grams, in the fish tank after t minutes have elapsed. Find a formula for the rate of change in the amount of salt,(dx/dt), in terms of the amount of salt in the solution x and the unknown concentration of incoming brine c.
(dx/dt)=? (grams/minute)
Find a formula for the amount of salt, in grams, after t minutes have elapsed. Your answer should be in terms of c and t.
x(t) = ? grams
In 25 minutes there are 20 grams of salt in the fish tank. What is the concentration of salt in the incoming brine?
c = ? g/L
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
