A tank contains 100 gallons of brine containing 5 pounds of salt. Brine with a concentration of 2% is added to the tank at a rate of 2 gallons per minute, and the well-stirred mixture is drained from the tank at the same rate. Determine an equation for the amount of salt in the tank at time t. When does the tank contain 3 pounds of salt?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 51RE: The population of a city is modeled by the equation P(t)=256,114e0.25t where t is measured in years....
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A tank contains 100 gallons of brine containing 5 pounds of salt. Brine with a concentration of 2% is added to the
tank at a rate of 2 gallons per minute, and the well-stirred mixture is drained from the tank at the same rate.
Determine an equation for the amount of salt in the tank at time t.
When does the tank contain 3 pounds of salt?
Transcribed Image Text:A tank contains 100 gallons of brine containing 5 pounds of salt. Brine with a concentration of 2% is added to the tank at a rate of 2 gallons per minute, and the well-stirred mixture is drained from the tank at the same rate. Determine an equation for the amount of salt in the tank at time t. When does the tank contain 3 pounds of salt?
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