Concept explainers
To graph: The model
Answer to Problem 114E
18 cubic feet per min per child.
Explanation of Solution
Given: The rate of ventilation required in a public school classroom depends on the volume of air space per child. The model
Approximates the minimum required rate of ventilation y ( in cubic feet per minute per child) in a class room with x cubic feet of air space per child.
Using graphing utility to graph
If 300 cubic feet air space per child. So,
Hence, the required rate of ventilation is 18 cubic feet per min per child.
To find: The rate of ventilation per child.
Answer to Problem 114E
15 cubic feet per min per child.
Explanation of Solution
Given: A classroom of 30 students has an air conditioning system that moves 450 cubic feet of air per minute.
Number of student = 30
Air ventilation = 450 cubic feet per minute
Rate
Hence, the rate of ventilation is 15 cubic feet per minute per child.
To find: The air space per child for the classroom in part (b).
Answer to Problem 114E
382 cubic feet air space per child
Explanation of Solution
Given: The graph in part (a)
Number of student = 30
Air ventilation = 450 cubic feet per minute
Rate
Above calculation get the value of
Using graph to find the value of
So,
Hence, the minimum required air 382 cubic feet air space per child.
To find: The rate of ventilation per child.
Answer to Problem 114E
Yes
Explanation of Solution
Given: A classroom of 30 students has an air conditioning system. The classroom has 960 square feet of floor space and a ceiling that is 12 feet high.
Number of student = 30
Volume of classroom =
Now find the value of x
So, 384 cubic feet air space per child.
Using graph to find the rate of ventilation for 384 cubic feet air space per child.
So,
So, it would be perfectly dimension of classroom for ventilation for 30 students.
Chapter 3 Solutions
Precalculus with Limits: A Graphing Approach
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