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2. A tank 100 gallon capacity is initially full of water. Pure water is allowed to run into the tank at a rate of 1 gallon per minute, and at the same time containing one-fourth pound of salt per gallon flows into the tank also at a rate of 1 gallon per minute. The mixture flows out at a rate of 2 gallons per minute (it is assumed that there is perfect mixing). Find the amount of salt in the tank after t minutes.

2. A tank 100 gallon capacity is initially full of water. Pure water is allowed to run into the tank at a rate of 1 gallon per minute, and at the same time containing one-fourth pound of salt per gallon flows into the tank also at a rate of 1 gallon per minute. The mixture flows out at a rate of 2 gallons per minute (it is assumed that there is perfect mixing). Find the amount of salt in the tank after t minutes.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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2. A tank 100 gallon capacity is initially full of water. Pure water is allowed to run into the tank at a rate of 1 gallon per minute, and at the same time containing one-fourth pound of salt per gallon flows into the tank also at a rate of 1 gallon per minute. The mixture flows out at a rate of 2 gallons per minute (it is assumed that there is perfect mixing). Find the amount of salt in the tank after t minutes.
Transcribed Image Text:2. A tank 100 gallon capacity is initially full of water. Pure water is allowed to run into the tank at a rate of 1 gallon per minute, and at the same time containing one-fourth pound of salt per gallon flows into the tank also at a rate of 1 gallon per minute. The mixture flows out at a rate of 2 gallons per minute (it is assumed that there is perfect mixing). Find the amount of salt in the tank after t minutes.
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