Initially 5 grams of salt are dissolved in 30 liters of water in a tank. Brine with salt concentration 3 grams per liter is added at a rate of 3 liters per minute. The tank is well mixed and drained at 3 liters per minute so that the volume of liquid in it remains constant. 140 120 100 80 60 40 20 ///////// /////////// 2 4 6 8 10 12 time t in minutes JR note to self: Could add a part (a) asking for the differential equation. How long does the process have to continue until there are 45 grams of salt in the tank? Your answer should be either exact or accurate to at least 6 decimal digits. minutes grams of salt

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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Initially 5 grams of salt are dissolved in 30 liters of water in a tank. Brine with salt concentration 3 grams per liter is
added at a rate of 3 liters per minute. The tank is well mixed and drained at 3 liters per minute so that the volume of
liquid in it remains constant.
140
120
100
80
60
40
////////
20
////
/////
4 6 8 10 12
time t in minutes
2
JR note to self: Could add a part (a) asking for the differential equation.
How long does the process have to continue until there are 45 grams of salt in the tank?
Your answer should be either exact or accurate to at least 6 decimal digits.
minutes
grams of salt
Transcribed Image Text:Initially 5 grams of salt are dissolved in 30 liters of water in a tank. Brine with salt concentration 3 grams per liter is added at a rate of 3 liters per minute. The tank is well mixed and drained at 3 liters per minute so that the volume of liquid in it remains constant. 140 120 100 80 60 40 //////// 20 //// ///// 4 6 8 10 12 time t in minutes 2 JR note to self: Could add a part (a) asking for the differential equation. How long does the process have to continue until there are 45 grams of salt in the tank? Your answer should be either exact or accurate to at least 6 decimal digits. minutes grams of salt
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