Question 732727: A long straight river, 100 meters wide, is flowing at 1 meter per sec. A pollutant is entering the river at a consistent rate from one of its banks. As the pollutant disperses in the water, it forms a plume that is modeled by the equation y= the sqare root of x.
How wide is the plume at 25 meters?
How wide is it at 100 meters?
How far down from the river source does the pollutant plume reach halfway across the river?
How far down the river does the plume reach the other side?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A long straight river, 100 meters wide, is flowing at 1 meter per sec. A pollutant is entering the river at a consistent rate from one of its banks. As the pollutant disperses in the water, it forms a plume that is modeled by the equation y= the sqare root of x.
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How wide is the plume at 25 meters?
y = sqrt(25) = 5 meters.
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How wide is it at 100 meters?
y = sqrt(100) = 10 meters
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How far down from the river source does the pollutant plume reach halfway across the river?
Solve: 50 = sqrt(x)
x = 2500 meters
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How far down the river does the plume reach the other side?
Solve: 100 = sqrt(x)
x = 10,000 meters
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Cheers,
Stan H.
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