Direct & Inverse Variation

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
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15 questions
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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
What is inverse variation?
Back
Inverse variation is a relationship between two variables where the product of the two variables is constant. It can be expressed as y = k/x, where k is a non-zero constant.
3.
FLASHCARD QUESTION
Front
If y varies directly with x and y = 84 when x = 16, what is the constant of variation (k)?
Back
k = y/x = 84/16 = 5.25.
4.
FLASHCARD QUESTION
Front
Write the equation for direct variation when y = 5.25 and x = 1.
Back
y = 5.25x.
5.
FLASHCARD QUESTION
Front
If the width of a rectangle varies inversely with its length and the width is 6 when the length is 24, what is the constant of variation (k)?
Back
k = width × length = 6 × 24 = 144.
6.
FLASHCARD QUESTION
Front
Write the equation for inverse variation when k = 144 and length = x.
Back
width = 144/x.
7.
FLASHCARD QUESTION
Front
If Daniel received $55.35 in interest on $1230, how do you find the interest for a different amount deposited?
Back
Use the formula: Interest = (Amount Deposited / Original Amount) × Original Interest.
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