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October 19th, 2015, 02:21 PM  #1 
Senior Member Joined: Jan 2015 From: London Posts: 108 Thanks: 2  Proportionality Hard Worded Question
The pressure on a diver under water is directly proportional to the square of her depth below the surface of the water. The diver has reached a depth of 10 metres. How much further must she descend for the pressure to double?

October 19th, 2015, 03:07 PM  #2  
Math Team Joined: Jul 2011 From: Texas Posts: 2,887 Thanks: 1506  Quote:
$2P = 2k \cdot d^2$ $2P = k \cdot 2d^2$ $2P = k \cdot (\sqrt{2} \cdot d)^2$  
October 20th, 2015, 07:55 AM  #3 
Senior Member Joined: Jan 2015 From: London Posts: 108 Thanks: 2 
Could you please expand on your answer so that we actually know how much further she has gone before the pressure doubles

October 20th, 2015, 02:16 PM  #4  
Math Team Joined: Jul 2011 From: Texas Posts: 2,887 Thanks: 1506  Quote:
$\sqrt{2} \cdot d  d = d(\sqrt{2}1)$ now substitute the given value for the initial depth into the expression.  

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