Concept explainers
a.
As a skydiver falls, does the atmospheric pressure increase or decrease? Does the reading on skydiver’s altimeter increase or decrease?
a.
Answer to Problem 24E
The atmospheric pressure will increase as a skydiver will fall.
The reading on skydiver’s altimeter will decrease.
Explanation of Solution
Given:
A skydiver uses an altimeter to track altitude so that he or she knows when to open the parachute. The altimeter determines altitude by measuring changes in atmospheric pressure. The graph below shows how pressure varies with altitude as a skydiver falls from 12,000 feet to ground level. (The elevation of the ground is assumed to be 0 feet with respect to sea level.)
Calculation:
Upon looking at our given graph, we can see that x -axis represents altitude of a skydiver in thousands of feet and y -axis represents atmospheric pressure in pounds per square feet.
Since the ground level will be at
Therefore, the atmospheric pressure will increase as a skydiver will fall.
Since the altimeter determines altitude, so reading on skydiver’s altimeter will decrease.
b.
To describe:
The domain and range of the relation represented by the graph.
b.
Answer to Problem 24E
The domain of the relation represented by the graph is
The range of the relation represented by the graph is
Explanation of Solution
Given:
A skydiver uses an altimeter to track altitude so that he or she knows when to open the parachute. The altimeter determines altitude by measuring changes in atmospheric pressure. The graph below shows how pressure varies with altitude as a skydiver falls from 12,000 feet to ground level. (The elevation of the ground is assumed to be 0 feet with respect to sea level.)
Calculation:
Upon looking at our given graph, we can see that x values on our graph goes from
We can also see that y values on our graph goes from
c.
Is the relation a function? Explain.
c.
Answer to Problem 24E
The given relation is a function as the graph passes vertical line test.
Explanation of Solution
Given:
A skydiver uses an altimeter to track altitude so that he or she knows when to open the parachute. The altimeter determines altitude by measuring changes in atmospheric pressure. The graph below shows how pressure varies with altitude as a skydiver falls from 12,000 feet to ground level. (The elevation of the ground is assumed to be 0 feet with respect to sea level.)
Calculation:
Upon looking at our given graph, we can see that any verticalwill not intersect our graph more than one place. Therefore, the given relation is a function.
d.
Some altimeters can sound an alarm warning a skydiver to open the parachute when the altitude falls to a certain level. If the alarm is set to go off at an altitude of 3000 feet, approximately what atmospheric pressure will trigger the alarm?
d.
Answer to Problem 24E
An atmospheric pressure of 1900 pounds per square feet will trigger the alarm.
Explanation of Solution
Given:
A skydiver uses an altimeter to track altitude so that he or she knows when to open the parachute. The altimeter determines altitude by measuring changes in atmospheric pressure. The graph below shows how pressure varies with altitude as a skydiver falls from 12,000 feet to ground level. (The elevation of the ground is assumed to be 0 feet with respect to sea level.)
Calculation:
To solve our given problem, we need to check the value of y , when
Upon looking at our given graph, we can see that the value of y is 1900 at
Chapter 8 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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