A large tank is filled to capacity with 300 gallons of pure water. Brine containing 4 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at a rate 6 gals/min. Find the number A(t) of pounds of salt in the tank at time t. 3 A(t) = (100-1)²-301+3000 lb X How long (in minutes) will it take for the tank to be empty after this process has started? 100 ✓ min

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.5: Equations With The Variable On Both Sides
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A large tank is filled to capacity with 300 gallons of pure water. Brine containing 4 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at a rate of
6 gals/min. Find the number A(t) of pounds of salt in the tank at time t.
3
A(t) =
(100-1)²-301+3000
lb
X
How long (in minutes) will it take for the tank to be empty after this process has started?
100
min
Transcribed Image Text:A large tank is filled to capacity with 300 gallons of pure water. Brine containing 4 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at a rate of 6 gals/min. Find the number A(t) of pounds of salt in the tank at time t. 3 A(t) = (100-1)²-301+3000 lb X How long (in minutes) will it take for the tank to be empty after this process has started? 100 min
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