Consider three connected lakes, A, B, and C, where lake B has a volume of 2650 km2, and water flows from into lake B, and from lake B into lake C, both inflows and outflows at the same rate of 525 km/year. Suppo that at time t%3D0 (years), the pollutant concentration of lake B, caused by past industrial pollution that has no been ordered to cease, is five times that of lake A. If the outflow from lake B to lake C is perfectly mixed lake water, how long will it take to reduce the pollution concentration in lake B to twice that of lake A? (Choose a correct answers)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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Consider three connected lakes, A, B, and C, where lake B has a volume of 2650 km, and water flows from lake A
into lake B, and from lake B into lake C, both inflows and outflows at the same rate of 525 km2/year. Suppose
that at time t=0 (years), the pollutant concentration of lake B, caused by past industrial pollution that has now
been ordered to cease, is five times that of lake A. If the outflow from lake B to lake C is perfectly mixed lake
water, how long will it take to reduce the pollution concentration in lake B to twice that of lake A? (Choose all
correct answers)
OA More than five years.
OB Less than eight years.
OC Less than six years.
D D. More than 11 years.
Transcribed Image Text:Consider three connected lakes, A, B, and C, where lake B has a volume of 2650 km, and water flows from lake A into lake B, and from lake B into lake C, both inflows and outflows at the same rate of 525 km2/year. Suppose that at time t=0 (years), the pollutant concentration of lake B, caused by past industrial pollution that has now been ordered to cease, is five times that of lake A. If the outflow from lake B to lake C is perfectly mixed lake water, how long will it take to reduce the pollution concentration in lake B to twice that of lake A? (Choose all correct answers) OA More than five years. OB Less than eight years. OC Less than six years. D D. More than 11 years.
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