Underwater pressure. Refer to Problem 3. 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.
Reference:
Underwater pressure. 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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