Direct Variation

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is Direct Variation?
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 the constant of variation.
2.
FLASHCARD QUESTION
Front
What does the constant of variation (k) represent?
Back
The constant of variation (k) represents the ratio of y to x in a direct variation relationship. It indicates how much y changes for a unit change in x.
3.
FLASHCARD QUESTION
Front
If y varies directly with x and k = 3, what is the equation?
Back
y = 3x
4.
FLASHCARD QUESTION
Front
Is the relationship y = 2x + 5 a direct variation?
Back
No, because direct variation must pass through the origin (0,0) and cannot have a constant term.
5.
FLASHCARD QUESTION
Front
If y = 10 when x = 5, what is the constant of variation?
Back
k = 2 (since k = y/x = 10/5).
6.
FLASHCARD QUESTION
Front
How do you determine if a set of values represents a direct variation?
Back
Check if the ratio y/x is constant for all pairs of values.
7.
FLASHCARD QUESTION
Front
What is the graphical representation of direct variation?
Back
A straight line that passes through the origin (0,0).
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