Direct Variation
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Direct Variation Equation?
Back
Y = kx, where k is the constant of variation.
2.
FLASHCARD QUESTION
Front
If y varies directly with x, what does that imply about their relationship?
Back
It implies that as x increases or decreases, y increases or decreases proportionally.
3.
FLASHCARD QUESTION
Front
What is the constant of variation in a direct variation equation?
Back
The constant of variation (k) is the ratio of y to x in the equation y = kx.
4.
FLASHCARD QUESTION
Front
How do you find the constant of variation if y = 12 when x = 15?
Back
k = y/x = 12/15 = 0.8.
5.
FLASHCARD QUESTION
Front
If y = 16, what is the value of x when y varies directly with x and k = 0.8?
Back
x = y/k = 16/0.8 = 20.
6.
FLASHCARD QUESTION
Front
What does it mean if y = 5x in the context of distance and time?
Back
It means that for every mile (x), it takes 5 seconds (y) to hear the thunder after seeing the lightning.
7.
FLASHCARD QUESTION
Front
In a direct variation, if y = 39 when x = 3, how do you find y when x = 2?
Back
First, find k: k = y/x = 39/3 = 13. Then, y = kx = 13*2 = 26.
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