Find a linear model that relates pressure p in pounds per


Underwater pressure:-

Refer to given Problem. In fresh water, the pressure at a depth of 34 ft is 2 atms, or 29.4 pounds per square inch.
(A) Find a linear model that relates pressure P (in pounds per square inch) to depth d (in feet)

(B) Interpret the slope of the model.

(C) Find the pressure at a depth of 50 ft.

(D) Find the depth at which the pressure is 4 atms.

Problem
At sea level, the weight of the atmosphere exerts a pressure of 14.7 pounds per square inch, commonly referred to as 1 atmosphere of pressure. As an object descends in water, pressure P and depth d are linearly related. In salt water, the pressure at a depth of 33 ft is 2 atms, or 29.4 pounds per square inch.

(A) Find a linear model that relates pressure P (in pounds per square inch) to depth d (in feet).

(B) Interpret the slope of the model.

(C) Find the pressure at a depth of 50 ft.

(D) Find the depth at which the pressure is 4 atms.

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