Direct Variation

Flashcard
•
Mathematics
•
9th Grade
•
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 a non-zero constant.
2.
FLASHCARD QUESTION
Front
If y varies directly with x, and y = 39 when x = 3, what is the constant of variation (k)?
Back
k = y/x = 39/3 = 13.
3.
FLASHCARD QUESTION
Front
If y = kx and k = 5, what is the value of y when x = 10?
Back
y = 5 * 10 = 50.
Tags
CCSS.HSF-BF.A.1A
4.
FLASHCARD QUESTION
Front
How do you find the value of y when x = 2 if y varies directly with x and y = 39 when x = 3?
Back
First, find k: k = 39/3 = 13. Then, y = k * 2 = 13 * 2 = 26.
5.
FLASHCARD QUESTION
Front
In a direct variation, if you earn $70 for 5 hours of work, how much do you earn for 22 hours?
Back
Set up the proportion: (70/5) = (x/22). Solve for x: x = (70/5) * 22 = 308.
Tags
CCSS.HSF-LE.A.1B
6.
FLASHCARD QUESTION
Front
What is the formula to calculate direct variation?
Back
The formula is y = kx, where k is the constant of variation.
7.
FLASHCARD QUESTION
Front
If Daniel received $55.35 in interest on $1230, how much interest would he receive on $2000?
Back
Set up the proportion: (55.35/1230) = (x/2000). Solve for x: x = (55.35/1230) * 2000 = 90.
Tags
CCSS.6.EE.B.7
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