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In certain deep parts of the oceans, the pressure of sea water, \(P\), in pounds per square foot, at a depth of \(d\) feet below the surface, is given by the following equation:

\[ P = 16 + \frac{4d}{9} \]

If a scientific team uses special equipment to measure the pressure underwater and finds it to be 172 pounds per square foot, at what depth is the team making their measurements?

Answer: The team is measuring at _____ feet below the surface.

Answer :

Therefore , the solution of given problem of equation comes out to be

P is equal to 12 pounds per square foot.

Define equation.

Comparable to a balance scale, an equation. The equation (or scale) is out of balance if we add or subtract variable from one side. We also Must keep the "scale" (or equation) balanced while solving math equations such that both parts are always equal as expression are equal.

Here,

P= p = 12 + 4/9d is the equation that describes the relationship between the pressure,

p, of sea water in some deep ocean regions and the depth, d, below the surface.

Where

In pounds per square foot, p.

in feet is d

1) At a depth, seawater has a pressure of 85 pounds per square foot.

85 = 12 + 4/9d

4.9d/9 = 85 - 12 = 73

By xing it out, it becomes

4.9d = 73 × 9 = 657

d = 657/4.9

d = 134.1 feet

2) At 85 feet just below water's surface, the pressure of saltwater is

p = 12 + 4/9 × 85 = 12 + 4/765

P is equal to 12 pounds per square foot.

Therefore , the solution of given problem of equation comes out to be

P is equal to 12 pounds per square foot.

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