Consider three connected lakes, A, B, and C, where lake B has a volume of 2650 km3, 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 km³/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 outfle 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? O A Approximately 5 years O B. Approximately 7 years OC Approximately 4.4 years O D. Approximately 8.3 years O E. Approximately 6.3 years

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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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 km3, 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 km³/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?
O A. Approximately 5 years
O B. Approximately 7 years
OC Approximately 4.4 years
O D. Approximately 8.3 years
O E. Approximately 6.3 years
Transcribed Image Text:Consider three connected lakes, A, B, and C, where lake B has a volume of 2650 km3, 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 km³/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? O A. Approximately 5 years O B. Approximately 7 years OC Approximately 4.4 years O D. Approximately 8.3 years O E. Approximately 6.3 years
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