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 = 1.12F + 18.40, where F is between and inclusive of 5 and 65. What are the minimum and maximum values for P in this model?

ladiikeiii
Oct 18, 2017

#1**+1 **

Look at the graph of P = 1.12F + 18.4 , for 5 ≤ F ≤ 65 here .

I picked the vertical axis for P and the horizontal axis for F .

We can see that the smallest value of P occurs when F = 5 .

When F = 5, P = 1.12(5) + 18.4 = 24

The largest value of P occurs when F = 65 .

When F = 65, P = 1.12(65) + 18.4 = 91.2

The minimum value of P is 24, and the maximum value of P is 91.2 .

hectictar
Oct 18, 2017

#1**+1 **

Best Answer

Look at the graph of P = 1.12F + 18.4 , for 5 ≤ F ≤ 65 here .

I picked the vertical axis for P and the horizontal axis for F .

We can see that the smallest value of P occurs when F = 5 .

When F = 5, P = 1.12(5) + 18.4 = 24

The largest value of P occurs when F = 65 .

When F = 65, P = 1.12(65) + 18.4 = 91.2

The minimum value of P is 24, and the maximum value of P is 91.2 .

hectictar
Oct 18, 2017