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?
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 .
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 .