Algebra 1 4.4 Direct Variation Equation
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of direct variation?
Back
Direct variation is a relationship between two variables where one variable is a constant multiple of the other, typically expressed as y = kx, where k is the constant of variation.
2.
FLASHCARD QUESTION
Front
What is the constant of variation in a direct variation equation?
Back
The constant of variation (k) is the non-zero constant that relates the two variables in a direct variation equation, indicating how much y changes for a unit change in x.
3.
FLASHCARD QUESTION
Front
What ordered pair does a direct variation always go through when graphed?
Back
(0, 0)
4.
FLASHCARD QUESTION
Front
If y varies directly with x, what is the equation form?
Back
y = kx
5.
FLASHCARD QUESTION
Front
How do you find the constant of variation from a direct variation problem?
Back
To find the constant of variation, divide y by x (k = y/x) when given a specific ordered pair.
6.
FLASHCARD QUESTION
Front
If a car travels 120 miles in 2 hours, what is the constant of variation (speed)?
Back
k = 60 miles per hour.
7.
FLASHCARD QUESTION
Front
What does the graph of a direct variation look like?
Back
The graph of a direct variation is a straight line that passes through the origin (0, 0).
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