Inverse Variation
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is inverse variation?
Back
Inverse variation is a relationship between two variables where the product of the variables is constant. If y varies inversely as x, then y = k/x, where k is a non-zero constant.
2.
FLASHCARD QUESTION
Front
If y = -3 when x = -6, what is the constant k in the inverse variation equation?
Back
k = y * x = -3 * -6 = 18.
3.
FLASHCARD QUESTION
Front
Find y when x = 14 if y varies inversely as x and k = 18.
Back
y = k/x = 18/14 = 9/7.
4.
FLASHCARD QUESTION
Front
What does the graph of inverse variation look like?
Back
The graph of inverse variation is a hyperbola that approaches the axes but never touches them.
5.
FLASHCARD QUESTION
Front
Does the equation y = 10/x represent inverse variation?
Back
Yes, it represents inverse variation because it can be expressed in the form y = k/x.
6.
FLASHCARD QUESTION
Front
What is the general form of a direct variation equation?
Back
The general form of a direct variation equation is y = kx, where k is a non-zero constant.
7.
FLASHCARD QUESTION
Front
Identify the type of variation: y = k/x.
Back
Inverse variation.
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