A 120-gallon tank initially contains 90 lbs of salt dissolved in 90 gal of water. Brine containing 2 Ib/gal of salt flows into the tank at the rate of 4 gal/min, and the mixture flows out of the tank at the rate of 3 gal/min a) Write down the expression for the amount of salt in the tank at any time t. b) When is the tank full? c) How much salt does the tank contain when it is full?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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1. A 120-gallon tank initially contains 90 lbs of salt dissolved in 90 gal of water. Brine
containing 2 Ib/gal of salt flows into the tank at the rate of 4 gal/min, and the mixture flows
out of the tank at the rate of 3 gal/min
a) Write down the expression for the amount of salt in the tank at any time t.
b) When is the tank full?
How much salt does the tank contain when it is full?
Transcribed Image Text:1. A 120-gallon tank initially contains 90 lbs of salt dissolved in 90 gal of water. Brine containing 2 Ib/gal of salt flows into the tank at the rate of 4 gal/min, and the mixture flows out of the tank at the rate of 3 gal/min a) Write down the expression for the amount of salt in the tank at any time t. b) When is the tank full? How much salt does the tank contain when it is full?
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