Direct Variation Practice #1
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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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 is the constant of proportionality in direct variation?
Back
The constant of proportionality, denoted as k, is the constant factor that relates the two variables in a direct variation. It is the ratio of y to x.
Tags
CCSS.HSF-LE.A.1B
3.
FLASHCARD QUESTION
Front
How can you determine if a graph represents direct variation?
Back
A graph represents direct variation if it is a straight line that passes through the origin (0,0).
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
What is the equation of a direct variation if k = 5?
Back
The equation of the direct variation is y = 5x.
5.
FLASHCARD QUESTION
Front
If y varies directly with x and y = 12 when x = 3, what is the constant of variation k?
Back
k = 4, since y = kx implies 12 = k(3) => k = 12/3 = 4.
6.
FLASHCARD QUESTION
Front
If Trina earns $187.15 for 19 hours of work, how much does she earn per hour?
Back
She earns approximately $9.84 per hour, calculated as $187.15 / 19 hours.
Tags
CCSS.7.EE.B.3
7.
FLASHCARD QUESTION
Front
If the relationship between two variables is not linear, can it still be a direct variation?
Back
No, direct variation must be linear and pass through the origin.
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