In physics, the (absolute) pressure P in newtons per square meter at a point h meters below the surface of a body of water is shown to be a linear function of h. When h = 0.5 m, P = 1.013*10^8 newtons per square meter. When h = 1 meter, P = 2.003*10^8 newtons per square meter. Obtain the equation that defines P as a function of h, and use it to find the pressure at a depth of h = 100 meters. What does the slope of the line represent?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
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In physics, the (absolute) pressure P in newtons per square meter at a point h meters below the surface of a body of water is shown to be a linear function of h. When h = 0.5 m,

P = 1.013*10^8 newtons per square meter. When h = 1 meter, P =
2.003*10^8 newtons per square meter. Obtain the equation that defines P as a function of h, and use it to find the pressure at a depth of h = 100 meters. What does the slope of the line represent?

Expert Solution
Step 1

Let the equation of pressure represent following equation 

P = ah + b   .... (A) 

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