Concept explainers
(a)
Graph
(a)
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)
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)
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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