A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min. Find the number A(t) of pounds of salt in the tank at time t. A(t) = lb How long (in minutes) will take for the tank to be empty after this process has started? min
A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min. Find the number A(t) of pounds of salt in the tank at time t. A(t) = lb How long (in minutes) will take for the tank to be empty after this process has started? min
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 16T
Related questions
Question
Mm.1
![### Brine Mixing Problem
**Problem:**
A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gallons per minute. The well-mixed solution is pumped out at a rate of 8 gallons per minute. Find the number \(A(t)\) of pounds of salt in the tank at time \(t\).
**Solution:**
\[
A(t) = \_\_\_\_
\]
**Question:**
How long (in minutes) will it take for the tank to be empty after this process has started?
\[
\_\_\_\_ \text{ min}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ef2e86f-df5b-40a3-8009-016cf0671dd4%2Fe1092dc9-1228-4641-b300-bd315ea2b5cc%2Fr2br6yl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Brine Mixing Problem
**Problem:**
A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gallons per minute. The well-mixed solution is pumped out at a rate of 8 gallons per minute. Find the number \(A(t)\) of pounds of salt in the tank at time \(t\).
**Solution:**
\[
A(t) = \_\_\_\_
\]
**Question:**
How long (in minutes) will it take for the tank to be empty after this process has started?
\[
\_\_\_\_ \text{ min}
\]
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