A tank holds a 135 gal solution of water and salt. Initially, the solution contains 21 lb of salt. A salt solution with a concentration of 3 lb of salt per gal begins flowing into the tank at the rate of 3 gal per minute. The solution in the tank also begins flowing out at a rate of 3 gal per minute. Let y be the amount of salt present in the tank at time t. (a) Find an expression for the amount of salt in the tank at any time. (b) How much salt is present after 51 minutes? (c) As time increases, what happens to the salt concentration?
A tank holds a 135 gal solution of water and salt. Initially, the solution contains 21 lb of salt. A salt solution with a concentration of 3 lb of salt per gal begins flowing into the tank at the rate of 3 gal per minute. The solution in the tank also begins flowing out at a rate of 3 gal per minute. Let y be the amount of salt present in the tank at time t. (a) Find an expression for the amount of salt in the tank at any time. (b) How much salt is present after 51 minutes? (c) As time increases, what happens to the salt concentration?
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text:A tank holds a 135 gal solution of water and salt. Initially, the solution contains 21 lb of salt. A salt solution with a concentration of 3 lb of salt per gal begins flowing into the tank at the rate of 3 gal per
minute. The solution in the tank also begins flowing out at a rate of 3 gal per minute. Let y be the amount of salt present in the tank at time t.
(a) Find an expression for the amount of salt in the tank at any time.
(b) How much salt is present after 51 minutes?
(c) As time increases, what happens to the salt concentration?
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