Direct Variation
Flashcard
•
Mathematics
•
8th 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 proportionality.
2.
FLASHCARD QUESTION
Front
What does the equation y = kx represent?
Back
The equation y = kx represents a direct variation, where y varies directly with x, and k is the constant of proportionality.
3.
FLASHCARD QUESTION
Front
How do you find the unit rate from a total cost?
Back
To find the unit rate, divide the total cost by the number of units. For example, if $3.60 is for 3 pounds of apples, the unit rate is $3.60 / 3 = $1.20 per pound.
4.
FLASHCARD QUESTION
Front
If y varies directly with x, and y = 84 when x = 16, what is the constant of proportionality (k)?
Back
k = y/x = 84/16 = 5.25.
5.
FLASHCARD QUESTION
Front
If Hayden reads 12 pages in 4 minutes, how many pages can he read in 17 minutes?
Back
Using direct variation, if he reads 3 pages per minute (12 pages / 4 minutes), then in 17 minutes he can read 3 * 17 = 51 pages.
6.
FLASHCARD QUESTION
Front
What is the constant of proportionality if y = 15 when x = 195?
Back
k = y/x = 15/195 = 1/13.
7.
FLASHCARD QUESTION
Front
If y varies directly with x, and k = 3, what is y when x = 10?
Back
y = kx = 3 * 10 = 30.
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