Which statement would best describe the graph of the function
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Answer:
A; The graph has a slope of 6.
Step-by-step explanation:
A; True
B; The y value changes with the x
C; Has a steady slope of 6
D; You cant tell if this is a parabola
Answer:
Step-by-step explanation:
Remember that the slope represents the constant ratio of variation. In other words, is the number that variates the relation between variable.
So, the given table represents a proportional relationship, because you can observe that x-variable changes one unit, while y-variable changes 6 units. In other words, while y-variable changes 6 units, x-variable changes 1 unit, that's a proportional relationship, and its ratio is
[tex]m=\frac{y}{x}=\frac{6}{1}=6[/tex]
This means the proportional relationship has a slope of 6.
Therefore, the right answer is the first choice.
Remember that proportional relationships are represented by a straight line, where the slope is the constant of variation.