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Concept explainers
(a)
Graph
(a)
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Answer to Problem 41PPS
Explanation of Solution
Given:
The equation of the lines:
Concept Used:
The slope of
The slope of
The slope of
Calculation:
The slope of
The slope of
The slope of
Graph (0, 0). From (0, 0) for From (0, 0) for From (0, 0) for | ![]() |
Thus,
(b)
Describe the relationship among the constant of variation, the slope of the line and the rate of change of the graph.
(b)
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Answer to Problem 41PPS
The constant of variation, slope, and rate of change of a graph all have the same value
Explanation of Solution
Given:
The equation of the lines:
Concept Used:
The slope of
The slope of
The slope of
The constant of variation, slope, and rate of change of a graph all have the same value.
Calculation:
Thus, the constant of variation, slope, and rate of change of a graph all have the same value
(c)
Make a conjecture about how you can determine without graphing which of two direct variation equations has the steeper graph
(c)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The equation of the lines:
Concept Used:
The slope of
The slope of
The slope of
For each equation, find the value of k. The equation with greater value of
Chapter 3 Solutions
Algebra 1
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