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If a range hood removes 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=1.14F+18.31, where F is between and inclusive of 10 and 75. What flow rate F a range hood have to remove 85 % of the contaminants from the air? The hood must have a flow rate F of about _____ liters of air per second.

(Simplify your answer. Round to the nearest integer as needed.)

ladiikeiii Oct 18, 2017

#1**+1 **

P = 1.14F + 18.31 and 10 ≤ F ≤ 75

The question is.....what value of F causes P to be 85 ?

Plug in 85 for P and solve for F .

85 = 1.14F + 18.31 Subtract 18.31 from both sides.

66.69 = 1.14F Divide both sides by 1.14 .

58.5 = F This is between 10 and 75 , so it is a possible value for F .

The hood must have a flow rate of about 59 liters per second.

hectictar Oct 18, 2017

#1**+1 **

Best Answer

P = 1.14F + 18.31 and 10 ≤ F ≤ 75

The question is.....what value of F causes P to be 85 ?

Plug in 85 for P and solve for F .

85 = 1.14F + 18.31 Subtract 18.31 from both sides.

66.69 = 1.14F Divide both sides by 1.14 .

58.5 = F This is between 10 and 75 , so it is a possible value for F .

The hood must have a flow rate of about 59 liters per second.

hectictar Oct 18, 2017