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 the constant of proportionality.
2.
FLASHCARD QUESTION
Front
What is the constant of proportionality in direct variation?
Back
The constant of proportionality (k) is the constant factor that relates the two variables in a direct variation. It is the ratio of y to x.
3.
FLASHCARD QUESTION
Front
If y varies directly with x, what does this imply?
Back
This implies that as x increases, y increases proportionally, and as x decreases, y decreases proportionally.
4.
FLASHCARD QUESTION
Front
What is the equation for a direct variation where k = 5?
Back
The equation is y = 5x.
5.
FLASHCARD QUESTION
Front
How can you determine if a relationship is a direct variation from a table of values?
Back
A relationship is a direct variation if the ratio of y to x is constant for all pairs of values.
6.
FLASHCARD QUESTION
Front
If a person with a mass of 90 kg contains 60 kg of water, what is the constant of proportionality?
Back
The constant of proportionality is k = 60/90 = 2/3.
7.
FLASHCARD QUESTION
Front
What is the equation for the relationship between mass (m) and water (w) if w varies directly with m?
Back
The equation is w = km, where k is the constant of proportionality.
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