A tank initially contains 900 liters of pure water. Then water containing 3 mg of detergent per liter starts to enter the tank at the rate of 15 sters per hou (a) How long until the average concentration of detergent in the tank is 2 mg per liter? (b) How long until the average concentration of detergent in the tank is x mg per liter? (c) Sketch a graph showing the function you obtained in (b). Put x on the horizontal axis and t on the vertical axis. (d) What does your answer to part (b) give when x = 7. hours Do you notice anything strange? Can you explain this? hours hours (use 'x' in your equation)
A tank initially contains 900 liters of pure water. Then water containing 3 mg of detergent per liter starts to enter the tank at the rate of 15 sters per hou (a) How long until the average concentration of detergent in the tank is 2 mg per liter? (b) How long until the average concentration of detergent in the tank is x mg per liter? (c) Sketch a graph showing the function you obtained in (b). Put x on the horizontal axis and t on the vertical axis. (d) What does your answer to part (b) give when x = 7. hours Do you notice anything strange? Can you explain this? hours hours (use 'x' in your equation)
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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Transcribed Image Text:A tank initially contains 900 liters of pure water. Then water containing 3 mg of detergent per liter starts to enter the tank at the rate of 15 liters per hour.
(a) How long until the average concentration of detergent in the tank is 2 mg per liter?
(b) How long until the average concentration of detergent in the tank is x mg per liter?
(c) Sketch a graph showing the function you obtained in (b). Put x on the horizontal axis and t on the vertical axis.
(d) What does your answer to part (b) give when x = 7.
hours.
Do you notice anything strange? Can you explain this?
hours
hours (use 'x' in your equation)
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VIEWStep 3: the time when the average concentration of detergent in the tank is 2 mg per liter.
VIEWStep 4: the time when the average concentration of detergent in the tank is x mg per liter.
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VIEWStep 6: putting x=7
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