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    As one descends into the ocean, pressure increases linearly. The pressure is 15 pounds per square inch on the surface and 30 pounds per square inch 33 feet below the surface.

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    As one descends into the ocean, pressure increases linearly. The pressure is 15 pounds per square inch on the surface and 30 pounds per square inch 33 feet below the surface.
    (A) If p is the pressure in pounds per square inch and d is the depth below the surface in feet, write an equation that expresses p in terms of d. [Hint: Find an equation of the line that passes through (0,15) and (33,30).]
    (B) What is the pressure at 12,540 feet (the average depth of the ocean)?
    (C) Graph the equation for d between 0 and 12,540.
    (D) Write a brief verbal interpretation of the slope of the line found in part (A).

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    Solution Summary

    This solution is comprised of a detailed explanation to answer
    (A) If p is the pressure in pounds per square inch and d is the depth below the surface in feet, write an equation that expresses p in terms of d. [Hint: Find an equation of the line that passes through (0,15) and (33,30).]
    (B) What is the pressure at 12,540 feet (the average depth of the ocean)?
    (C) Graph the equation for d between 0 and 12,540.
    (D) Write a brief verbal interpretation of the slope of the line found in part (A).

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