
Concept explainers
(a)
To find: The direct variation equation that represents the situation.
(a)

Answer to Problem 54SR
Theequation of the pressure is
Explanation of Solution
Given:
The pressure on the year of the swimmer varies directly with the depth at which the swimmer is swimming.
Calculation:
Consider the expression for the pressure on the ear is directly proportional to the depth d with the constant k as,
For the depth of 10 feet the pressure is of 4.3 psi. Substitute the values as,
Thus, the equation of the pressure is,
(b)
To find: The pressure at the depth at 60 feet.
(b)

Answer to Problem 54SR
The pressure is of
Explanation of Solution
Given:
The depth is of 60 feet.
Calculation:
Consider theequation of the pressure is,
Then the pressure at 60 feet is,
(c)
To find: The depth required for the pressure of 65 pounds.
(c)

Answer to Problem 54SR
The depth is of
Explanation of Solution
Given:
The pressure is of 65 pounds.
Calculation:
Consider thepressure is of 65 pounds then the depth is,
(d)
To find: The table for the number of pounds of pressure at various depth of the water and draw the pressure versus depth graph.
(d)

Answer to Problem 54SR
The table is shown in Table 1 and the graph is shown in Figure 1
Explanation of Solution
Calculation:
Consider thetable for the number of pounds of pressure at various depth is shown in Table 1
Table 1
Depth | Pressure |
10 | 4.3 |
20 | 8.6 |
30 | 12.9 |
40 | 17.2 |
From the above points the graph for the function is shown in Figure 1
Figure 1
Chapter 10 Solutions
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