A large tank initially contains 50 gallons of brine in which there is dissolved 10 lb of salt. Brine containing 2 lb of dissolved salt per gallon flows into the tank at the rate of 5 gallons per minute. The mixture is kept uniform by stirring and the stirred mixture simultaneously flows out at the slower rate of 3 gallons per minute. How much salt is in

College Algebra
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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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A large tank initially contains 50 gallons of brine in which there is dissolved 10 lb of
salt. Brine containing 2 lb of dissolved salt per gallon flows into the tank at the rate of 5
gallons per minute. The mixture is kept uniform by stirring and the stirred mixture
simultaneously flows out at the slower rate of 3 gallons per minute. How much salt is in
the tank at any time t> 0 ? When will the concentration of the salt in the tank reach 1.5
Ib/gal?
Transcribed Image Text:A large tank initially contains 50 gallons of brine in which there is dissolved 10 lb of salt. Brine containing 2 lb of dissolved salt per gallon flows into the tank at the rate of 5 gallons per minute. The mixture is kept uniform by stirring and the stirred mixture simultaneously flows out at the slower rate of 3 gallons per minute. How much salt is in the tank at any time t> 0 ? When will the concentration of the salt in the tank reach 1.5 Ib/gal?
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