Direct Variation
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
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 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
How do you find the value of y when x is given in a direct variation?
Back
Use the formula y = kx, where k is the constant of variation.
4.
FLASHCARD QUESTION
Front
If $70 is earned in 5 hours, how much is earned per hour?
Back
$70 / 5 hours = $14 per hour.
5.
FLASHCARD QUESTION
Front
If a person earns $14 per hour, how much will they earn in 22 hours?
Back
Earnings = 14 * 22 = $308.
6.
FLASHCARD QUESTION
Front
What is the formula to calculate earnings based on hours worked in direct variation?
Back
Earnings = (Earnings per hour) * (Number of hours worked).
7.
FLASHCARD QUESTION
Front
If Trina earns $187.15 for 19 hours, how do you find her earnings for 40 hours?
Back
First, find her earnings per hour: $187.15 / 19 hours = $9.85 per hour. Then, multiply by 40 hours: 9.85 * 40 = $394.
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