Problema Solution

If a range hood contains contaminants at a flow rate of F liters of air per second, then the percent P of contaminants that are also removed from the surrounding air can be modeled by P=1.02F +70.6, where F is between and inclusive of 10 and 75. What flow rate F must a range hood have to remove 95% of the contaminants from the air?

Answer provided by our tutors

We need to find F, 10 <= F <= 75, such that:

1.02F +70.6 = 95

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click here to see the equation solved for F

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F = 23.92 liters per second

The flow rate of the range hood should be 23.92 liters per second.