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Question

It has been found that 9 feet below the surface of water , the pressure is 18.7 pounds per square inch . The sea level pressure at a depth of 14 feet is 20.9 pounds per square inch. If the pressure increases linearly as one descends further , find the model that best fit in with pressure p in pounds per square inch at depth of d feet below the surface?

A
p=0.44d+0.77
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B
p=0.44d+14.74
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C
p=2.2d1.1
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D
p=2.2d9.9
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Solution

The correct option is B p=0.44d+14.74
Consider depth as y-axis and pressure along.
Given, At 9 feet below,pressure is 18.7 pounds per inch.
At 14 feet below,pressure is 20.9 pounds per inch.
Slope=20.918.7149=0.44
So,pressure as a function of depth is,
(p18.7)=0.44(d9)
p=0.44d+14.74

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