Direct, Inverse, Joint Variations
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Easy
Standards-aligned
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16 questions
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1.
FLASHCARD QUESTION
Front
What is direct variation?
Back
Direct variation is a relationship between two variables where an increase in one variable results in a proportional increase in the other variable. It can be expressed as y = kx, where k is a constant.
2.
FLASHCARD QUESTION
Front
What is inverse variation?
Back
Inverse variation is a relationship between two variables where an increase in one variable results in a proportional decrease in the other variable. It can be expressed as xy = k, where k is a constant.
3.
FLASHCARD QUESTION
Front
What is joint variation?
Back
Joint variation is a relationship where a variable varies directly with the product of two or more other variables. It can be expressed as z = kxy, where k is a constant.
4.
FLASHCARD QUESTION
Front
If y varies directly with x, and y = 10 when x = 2, what is the value of y when x = 5?
Back
y = 25.
5.
FLASHCARD QUESTION
Front
If x varies inversely with v, and x = 35 when v = 3, what is the value of x when v = 15?
Back
x = 7.
6.
FLASHCARD QUESTION
Front
The weight of a liquid varies directly as its volume. If the weight of the liquid in a cubical container 5 cm on a side is 250 g, what is the weight of the liquid in a cubical container 3 cm on a side?
Back
54 g.
7.
FLASHCARD QUESTION
Front
The frequency of a vibrating string varies inversely as its length. If a 3-foot string vibrates at 175 cycles per second, what is the frequency of a 5-foot string?
Back
105 cycles.
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