Inverse Proportion Patterns, Relationships, and Graphs (Grade 10 NSC Matric Mathematical Literacy): Flashcards

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Inverse Proportion Patterns, Relationships, and Graphs
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In inverse proportion, when one variable increases

The other variable decreases

Defining mathematical feature of inverse proportion

Product of two variables stays constant

Shape of inverse proportion graph

Hyperbola (curved line)

In x×y=kx \times y = k, what kk represents

A constant value

General formula for inverse proportion

y=kxy = \frac{k}{x} where kk is constant

Why inverse proportion graph is continuous

Values can be any positive number

Why curve never touches x or y axes

Variables cannot equal zero

Asymptotes in inverse proportion

Lines curve approaches but never reaches

How to recognise inverse proportion pattern

Products stay constant across value pairs

Rectangle area = 32, formula for breadth

b=32lb = \frac{32}{l}

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