(a).
Tograph : the given function and approximate the required rate of ventilation in a room with
(a).

Explanation of Solution
Given information :
The model:
The model approximates the minimum required rate of ventilation y (in cubic feet per minute per child) in a classroom with x cubic feet of air space per child.
The cubic feet of air space per child,
Graph :
As per the problem,
For the function,
Sketch the graph using graphing utility.
Step 1: Press WINDOW button to access the Window editor.
Step 2: Press
Step 3: Enter the expression,
Step 4: Press GRAPH button to graph the functions.
Interpretation:From the graph,
Therefore, for
(b).
Tocalculate : the rate of ventilation per child.
(b).

Answer to Problem 114E
The rate of ventilation is
Explanation of Solution
Given information :
The model:
The model approximates the minimum required rate of ventilation y (in cubic feet per minute per child) in a classroom with x cubic feet of air space per child.
Total number of students in the classroom is
The total cubic feet of air per minute is
Calculation :
As per the problem,
Total number of students in the classroom is
The total cubic feet of air per minute is
The rate of ventilation y is the cubic feet of air per minute per child.
Therefore,
(c).
Toestimate : the minimum required air space per child for the classroom in part(b), using the graph obtained in part(a).
(c).

Answer to Problem 114E
Explanation of Solution
Given information :
Consider the graph obtained in part (a).
The rate of ventilation per child,
As per the problem,
Consider the graph obtained in part (a):
From the graph, for
Therefore, the minimum required air space per child for the classroom, having
(d).
Toexplain : the rate of ventilation is adequate for the classroom in part (b) having the given volume.
(d).

Answer to Problem 114E
The rate of ventilation for the classroom,
Explanation of Solution
Given information :
The classroom of
Therate of ventilation for the classroom having
The model:
The model approximates the minimum required rate of ventilation y (in cubic feet per minute per child) in a classroom with x cubic feet of air space per child.
As per the problem,
Total students in the classroom is
The floor space of the classroom is
The height of the ceiling of the classroom is
Therefore, volume of the classroom or the total cubic feet of air spaceis
The cubic feet of air space per child is
Substitute
Therefore, the minimum required rate of ventilation for the classroom is
Thus, the rate of ventilation for the classroom,
Chapter 3 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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