(a)
To determine : The inequalities for circular regions around the hotel and cafe in which the person can get wireless Internet access, taking the location of the person as the origin.
The inequalities for circular regions around the hotel and cafe in which the person can get wireless Internet access are
Given information :
A person is in a park surfing the Internet on a wireless connection. A hotel's wireless transmitter is located
Explanation :
The inequality used to describe the region inside a circle is
The range of the hotel’s wireless transmitter is
The hotel's wireless transmitter is located
So,
Thus, the inequality for circular regions around the hotel in which the person can get wireless Internet access will be,
The range of the cafe’s wireless transmitter is
The cafe's transmitter is located
So,
Thus, the inequality for circular regions around the cafe in which the person can get wireless Internet access will be,
Therefore, inequalities for circular regions around the hotel and cafe in which the person can get wireless Internet access are
(b)
To graph : The inequalities for circular regions around the hotel and cafe in which the person can get wireless Internet access, taking the location of the person as the origin.
Given information :
A person is in a park surfing the Internet on a wireless connection. A hotel's wireless transmitter is located
Graph :
The inequalities for circular regions around the hotel and cafe in which the person can get wireless Internet access are
Graph the inequalities.
Point A represents the place where the person is standing.
The distance of the person at
The distance of the person at
Interpretation :
The person is at a distance of
(c)
To explain : The way to determine the overlapping of regions.
To find that the regions overlap or not compare the sum of radius of the circular region in which the person can get wireless Internet access with the distance from the hotel’s transmitter to the cafe’s transmitter.
Given information :
A person is in a park surfing the Internet on a wireless connection. A hotel's wireless transmitter is located
Explanation :
Find the distance from the hotel’s transmitter to the cafe’s transmitter.
Compare it with the sum of the radius of the circular region in which the person can get wireless Internet access.
The distance from the hotel’s transmitter to the cafe’s transmitter is
Therefore, the regions overlap.
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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