A 100-gal tank initially contains 25% dye solution. A 40% dye solution is allowed to enter at a rate of 10 gal/min and the resulting uniform mixture is removed from the tank at the same rate. a. Derive an expression for the amount of dye in the tank as a function of time. b. Find the time t at which the tank contains 23 % dye solution

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Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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A 100-gal tank initially contains 25% dye solution. A 40% dye solution is allowed to enter at a rate of 10 gal/min and the resulting uniform mixture is removed from the tank at the same rate.  a. Derive an expression for the amount of dye in the tank as a function of time. b. Find the time t at which the tank contains 23 % dye solution. 
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