What is direct variation?
Direct Variation Flashcard

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•
Mathematics
•
9th 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
If y varies directly with x, and y = 6 when x = 2, what is the value of y when x = 4?
Back
12
3.
FLASHCARD QUESTION
Front
The height of a wave in California varies directly with the seconds that pass by. If the wave is 6 feet high at 4 seconds, how high will it be at 10 seconds?
Back
15 feet (using the ratio 6/4 = height/10).
4.
FLASHCARD QUESTION
Front
What is the formula for direct variation?
Back
The formula for direct variation is y = kx, where k is the constant of variation.
5.
FLASHCARD QUESTION
Front
If y = 150 when x = 2, what is y when x = 25?
Back
1,875 (using the ratio 150/2 = y/25).
6.
FLASHCARD QUESTION
Front
If y varies directly with x, and y is 84 when x is 16, what is the constant of variation (k)?
Back
k = 5.25 (since k = y/x = 84/16).
7.
FLASHCARD QUESTION
Front
What does the constant of variation (k) represent in direct variation?
Back
The constant of variation (k) represents the rate at which y changes with respect to x.
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