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 Pand depth d are linearly related. In salt 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 5 atms. (A) Choose the correct linear model below. O A. P=0.03d + 1 VB. P=0.445d + 14.7 O C. P= 2.245d - 33 O D. P=0.445d + 29.4 (B) Choose the correct interpretation of the slope of the model below. It is the rate of change of pressure with respect to depth in units of Ib/in per foot. It is the rate of change of depth with respect pressure in units of feet per Ib/in".

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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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 5 atms.
...
(A) Choose the correct linear model below.
O A. P= 0.03d + 1
B. P= 0.445d + 14.7
C. P= 2.245d – 33
D. P= 0.445d + 29.4
(B) Choose the correct interpretation of the slope of the model below.
It is the rate of change of pressure with respect to depth in units of Ib / in
per foot.
It is the rate of change of depth with respect to pressure in units of feet per Ib / in.
Transcribed Image Text: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 5 atms. ... (A) Choose the correct linear model below. O A. P= 0.03d + 1 B. P= 0.445d + 14.7 C. P= 2.245d – 33 D. P= 0.445d + 29.4 (B) Choose the correct interpretation of the slope of the model below. It is the rate of change of pressure with respect to depth in units of Ib / in per foot. It is the rate of change of depth with respect to pressure in units of feet per Ib / in.
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