Chapter 3:Ratio and Proportion, 3.3:Inverse Proportion

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Last updated 3:38 PM on 9/20/26
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14 Terms

1
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What is inverse proportion?
Two quantities are inversely proportional when one increases while the other decreases so their product stays constant
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What does y ∝ 1/x mean?
y is inversely proportional to x
3
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What is the equation for inverse proportion?
y = k/x
4
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What does k represent in inverse proportion?
The constant of proportionality
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How do you find the constant of proportionality in inverse proportion?
Multiply x by y
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What stays constant in inverse proportion?
The product x × y
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What happens to y if x doubles?
y is halved
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What happens to y if x triples?
y becomes one-third
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What does the graph of inverse proportion look like?
A reciprocal curve
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Does an inverse proportion graph pass through the origin?
No
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What happens to y as x increases in inverse proportion?
y gets closer to zero
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How can you use inverse proportion to find an unknown value?
Find the constant k and use y = k/x
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What is the difference between direct and inverse proportion?
Direct proportion has y/x constant
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How do the quantities change in inverse proportion?
They change in opposite directions