+0  
 
0
348
1
avatar+350 

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=1.14F+18.31, where F is between and inclusive of 10 and 75. What flow rate F a range hood have to remove 85 % of the contaminants from the air? The hood must have a flow rate F of about  _____ liters of air per second.

(Simplify your answer. Round to the nearest integer as  needed.)

ladiikeiii  Oct 18, 2017

Best Answer 

 #1
avatar+7067 
+1

P  =  1.14F + 18.31     and     10 ≤ F ≤ 75

 

The question is.....what value of  F  causes  P  to be  85  ?

 

Plug in  85  for  P  and solve for  F .

 

85  =  1.14F + 18.31         Subtract  18.31  from both sides.

 

66.69  =  1.14F         Divide both sides by  1.14 .

 

58.5  =  F                  This is between  10  and  75 , so it is a possible value for  F .

 

The hood must have a flow rate of about  59  liters per second.

hectictar  Oct 18, 2017
 #1
avatar+7067 
+1
Best Answer

P  =  1.14F + 18.31     and     10 ≤ F ≤ 75

 

The question is.....what value of  F  causes  P  to be  85  ?

 

Plug in  85  for  P  and solve for  F .

 

85  =  1.14F + 18.31         Subtract  18.31  from both sides.

 

66.69  =  1.14F         Divide both sides by  1.14 .

 

58.5  =  F                  This is between  10  and  75 , so it is a possible value for  F .

 

The hood must have a flow rate of about  59  liters per second.

hectictar  Oct 18, 2017

15 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.