A tank having a capacity of 100 gallons is initially full of water. Pure water is allowed to run into the tank at the rate of 1 gallon per minute. At the same time, brine (a mixture of salt and water) containing 1/4 pound of salt per gallon flows into the tank at the rate of 1 gallon per minute. (Assume that there is perfect mixing.) The mixture flows out at the rate of 2 gallons per minute. Find the amount of salt in the tank after t minutes.

A tank having a capacity of 100 gallons is initially full of water. Pure water is allowed to run into the tank at the rate of 1 gallon per minute. At the same time, brine (a mixture of salt and water) containing 1/4 pound of salt per gallon flows into the tank at the rate of 1 gallon per minute. (Assume that there is perfect mixing.) The mixture flows out at the rate of 2 gallons per minute. Find the amount of salt in the tank after t minutes.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...

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