What is Direct Variation?
Direct Variation

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Mathematics
•
7th 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 for a graph to represent Direct Variation?
Back
A graph represents Direct Variation if it is a straight line that passes through the origin (0,0).
3.
FLASHCARD QUESTION
Front
How can you identify a Direct Variation graph among multiple options?
Back
Look for a straight line that passes through the origin. If the line does not pass through the origin, it is not a direct variation.
4.
FLASHCARD QUESTION
Front
What is a proportional relationship?
Back
A proportional relationship is one where two quantities maintain a constant ratio. In direct variation, the ratio of y to x is constant.
5.
FLASHCARD QUESTION
Front
What is the difference between proportional and non-proportional relationships?
Back
Proportional relationships have a constant ratio and pass through the origin, while non-proportional relationships do not maintain a constant ratio and may not pass through the origin.
6.
FLASHCARD QUESTION
Front
What does it mean for a table to be proportional?
Back
A table is proportional if the ratios of the corresponding values in the two columns are constant.
7.
FLASHCARD QUESTION
Front
How can you determine if a relationship is a direct variation?
Back
Check if the ratio of y to x is constant and if the graph passes through the origin.
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