A tank contains 2660 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a tank at the rate 9 L/min The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank initially? (kg) (b) Find the amount of sugar in the tank after t minutes. amount = (kg) (your answer should be a function of t) (c) Find the concentration of sugar in the solution in the tank after 54 minutes. concentration = (kg/L)

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ISBN:9781938168383
Author:Jay Abramson
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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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A tank contains 2660 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a tank at the rate 9 L/min The
solution is mixed and drains from the tank at the same rate.
(a) How much sugar is in the tank initially?
(kg)
(b) Find the amount of sugar in the tank after t minutes.
amount =
(kg)
(your answer should be a function of t)
(c) Find the concentration of sugar in the solution in the tank after 54 minutes.
concentration =
(kg/L)
Transcribed Image Text:A tank contains 2660 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a tank at the rate 9 L/min The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank initially? (kg) (b) Find the amount of sugar in the tank after t minutes. amount = (kg) (your answer should be a function of t) (c) Find the concentration of sugar in the solution in the tank after 54 minutes. concentration = (kg/L)
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