Question

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 Upper P equals 1.06 Upper F plus 22.18P=1.06F+22.18​, where F is between and inclusive of 1010 and 7070. What are the minimum and maximum values for P in this​ model?

Answer 1

Explanation:

The given value of P is as follows.

           P = 1.06F + 22.18,           $10 \leq F \leq 70$

or,       P' = 1.06

As p' is defined and non-zero. Hence, only critical points are boundary points.

For F = 10, the value of P will be calculated as follows.

         P = $1.06 \times 10 + 22.18$

            = 32.78

For F = 70, the value of P will be calculated as follows.

        P = $1.06 \times 70 + 22.18$

           = 96.38

Therefore, the minimum value of P is 32.78 and maximum value of P is 96.38.