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# help, can't figure this out

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

Oct 18, 2017

#1
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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 .

Oct 18, 2017

#1
+7348
+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