Math Problem Statement

When you dive below the surface of the water, the pressure increases. You can feel this in your ears when you dive to the bottom of a deep swimming pool or spring. The function that describes this relationship is P ( d )

14.5 + 29 66 d , where d is the depth in feet below the surface of the water and P is the pressure in pounds per square inch (PSI).

What is the pressure at the surface of the water? Select the correct units from the second box.

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At what depth is the pressure exactly double the pressure at the surface of the water?Select the correct units from the second box.

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What is the pressure at a depth of 198 feet? Use function notation in the first box and give the answer in the second box.Select the correct units from the third box.

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What is the pressure at a depth of 297 feet? Use function notation in the first box and give the answer in the second box.Select the correct units from the third box.

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Solution

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Algebra
Units of Measurement (PSI and Feet)

Formulas

P(d) = 14.5 + (29/66)d

Theorems

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Suitable Grade Level

Grades 9-10