What is Direct Variation?
Direct Variation

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Direct Variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.
2.
FLASHCARD QUESTION
Front
What does it mean if a table represents Direct Variation?
Back
If a table represents Direct Variation, the ratio of the two variables (y/x) is constant for all pairs of values.
3.
FLASHCARD QUESTION
Front
How can you identify Direct Variation from a graph?
Back
A graph represents Direct Variation if it is a straight line that passes through the origin (0,0).
4.
FLASHCARD QUESTION
Front
What is the constant of variation in Direct Variation?
Back
The constant of variation (k) is the non-zero constant that relates the two variables in a direct variation equation y = kx.
5.
FLASHCARD QUESTION
Front
If y varies directly with x, and y = 12 when x = 3, what is the constant of variation?
Back
k = y/x = 12/3 = 4.
6.
FLASHCARD QUESTION
Front
Does the following table represent direct variation? (x: 1, y: 2; x: 2, y: 4; x: 3, y: 6)
Back
Yes, the ratios (y/x) are all equal to 2.
7.
FLASHCARD QUESTION
Front
Does the following table represent direct variation? (x: 1, y: 3; x: 2, y: 5; x: 3, y: 7)
Back
No, the ratios (y/x) are not constant.
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