Inverse Variation Exit activity
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 their product is constant. If one variable increases, the other decreases.
2.
FLASHCARD QUESTION
Front
If x and y vary inversely, what is the formula to express this relationship?
Back
The formula is xy = k, where k is a constant.
3.
FLASHCARD QUESTION
Front
Given the point (5, 20), what is the constant k for the inverse variation?
Back
k = 5 * 20 = 100.
4.
FLASHCARD QUESTION
Front
How do you find the constant k from the equation y = 54/x?
Back
The constant k is 54.
5.
FLASHCARD QUESTION
Front
If (32, 15) and (12, y) are points in an inverse variation, how do you find y?
Back
First, find k using (32, 15): k = 32 * 15 = 480. Then use k to find y: 480 = 12 * y, so y = 40.
6.
FLASHCARD QUESTION
Front
Does the equation y = 10/x represent an inverse variation?
Back
Yes, it represents an inverse variation.
7.
FLASHCARD QUESTION
Front
What happens to y if x increases in an inverse variation?
Back
If x increases, y decreases.
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