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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?

ladiikeiii  Oct 18, 2017

Best Answer 

 #1
avatar+7266 
+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 .   smiley

hectictar  Oct 18, 2017
 #1
avatar+7266 
+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 .   smiley

hectictar  Oct 18, 2017

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