Concept explainers
(a)
The slope and y intercept of the graph.
(a)
Answer to Problem 110E
The correct match is graph II.
Explanation of Solution
Given information:
A person is playing $20 per week to a friend to repay a $200 loan.
Formula used:
Calculation:
Since the person is paying $20 per week the slope must be decreasing by time or slope value must be negative. So the slope is
Considering the graph ii) as shown below.
The slope of two points (10, 0) and (0, 200) on the graph is
And y intercept is
Hence the correct match is graph II.
Conclusion:
The correct match is graph II and the y intercept is
(b)
The slope and y intercept of the graph.
(b)
Answer to Problem 110E
The correct match is graph III.
Explanation of Solution
Given information:
An employee received $12.50 per hours plus $2 for each unit produced per hour.
Formula used:
Calculation:
Since the employee is receiving $12.50 per hour plus $2 for each unit produced per hour the slope must be increasing by time or slope value must be positive. So the slope is m = 2 and
b = 12.50. Therefore y intercept is (0, 12.50).
Considering the graph iii) as shown below:
The slope of above graph is 2 and y intercept is (0, 12.50).
Hence the correct match is graph III.
Conclusion:
The correct match is graph III and y intercept is (0, 12.50).
(c)
The slope and y intercept of the graph.
(c)
Answer to Problem 110E
The correct match is graph I.
Explanation of Solution
Given information:
The sales representative receives $30 per day for food plus $0.32 for each kilometre travelled.
Formula used:
Calculation:
Since the sale representative receives $30 per day for food plus $0.32 for each mile travelled the slope must be increasing by time or slope value must be positive. 80 the slope is
Considering the graph i) as shown below:
The slope of above graph is 0.32 and y intercept is (0, 30).
Hence the correct match is graph I.
Conclusion:
The correct match is graph I and y intercept is (0, 30).
(d)
The slope and y intercept of the graph.
(d)
Answer to Problem 110E
The correct match is graph IV.
Explanation of Solution
Given information:
A computer that was purchased for $750 depreciates $100 per year.
Formula used:
Calculation:
Since the computer that was purchased for $750 depreciates $100 per year, the slope must be decreasing by time or slope value must be negative. 80 the slope is
Considering the graph iv) as shown below:
The slope of two points (7.5, 0) and (0,750) on the graph is
And y intercept is (0, 750).
Hence the correct match is graph IV.
Conclusion:
The correct match is graph IV and the y intercept is (0, 750).
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
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