SOLUTION: The pressure (p) in a liquid varies jointly as the depth (d) and the density (D) of the liquid. If the pressure is 33.5 lb/in^2 when the depth is 97 in. and the density is 2.2 lb/i

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Question 1055119: The pressure (p) in a liquid varies jointly as the depth (d) and the density (D) of the liquid. If the pressure is 33.5 lb/in^2 when the depth is 97 in. and the density is 2.2 lb/in^3, find the pressure when the density remains the same and the depth is 88 in. (Round your answer to one decimal place.)
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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The pressure (p) in a liquid varies jointly as the depth (d) and the density (D) of the liquid.
If the pressure is 33.5 lb/in^2 when the depth is 97 in. and the density is 2.2 lb/in^3,
find the pressure when the density remains the same and the depth is 88 in. (Round your answer to one decimal place.)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The condition says that p = k*(D*d), where "k" is the proportionality coefficient, which is constant.

At these circumstances, k =  is the constant.


Therefore,

 = ,

where "x" is the pressure under the question.


Solve for x and get the answer.
Start canceling the factor 2.2 in both sides.


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