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Concept explainers
a.
To evaluate: the graph of the relationship in the first quadrant.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 56HP
First quadrant consists of all positive values.
Explanation of Solution
Given information:
The graph of the relationship between hours worked and earnings.
Formula used:
Coordinate axes:
Quadrant I: x and y are positive
Quadrant II: x is negative and y is positive
Quadrant III: x and y are negative
Quadrant IV: x is positive and y is negative.
Calculation:
We have the graph of working hours and earnings.
The time of working hours cannot be negative. Hence, positive.
The money earned cannot be count in negative. Hence, positive.
Since , both the variables that are defining the graph will be positive in the first quadrant.
b.
To examine: the graph with another example.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 56HP
The number of cars washed and earnings.
Explanation of Solution
Given information:
The graph of the relationship between hours worked and earnings.
Formula used:
Coordinate axes:
Quadrant I: x and y are positive
Quadrant II: x is negative and y is positive
Quadrant III: x and y are negative
Quadrant IV: x is positive and y is negative.
Calculation:
We have the graph of working hours and earnings where both the variables cannot be negative.
Example: that is suitable with the given information is − the graph of the relationship between number of cars washed and number of motor cycles washed.
Hence , both the variables that are defining the graph will be positive in the first quadrant.
Chapter 2 Solutions
Algebra 2
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