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? Choose all correct answers. A Approximately 6.3 years. B D Approximately 4.4 years. Approximately 5 years. Approximately 8.3 years. Approximately 7 years.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: 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?
Choose all correct answers.
B
Approximately 6.3 years.
Approximately 4.4 years.
Approximately 5 years.
Approximately 8.3 years.
Approximately 7 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? Choose all correct answers. B Approximately 6.3 years. Approximately 4.4 years. Approximately 5 years. Approximately 8.3 years. Approximately 7 years.
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