Proportion (OCR GCSE Maths): Flashcards

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Proportion
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Definition of proportion

Relationship between two variables where one changes in a specific way as the other changes

Direct proportion meaning

As one variable increases, the other also increases

Inverse proportion meaning

As one variable increases, the other decreases

Symbol for 'is proportional to'

∝\propto

Linear proportion notation

y∝xy \propto x or y=kxy = kx

Quadratic proportion notation

y∝x2y \propto x^2 or y=kx2y = kx^2

Cubic proportion notation

y∝x3y \propto x^3 or y=kx3y = kx^3

Simple inverse proportion notation

y∝1xy \propto \frac{1}{x} or y=kxy = \frac{k}{x}

Quadratic inverse proportion notation

y∝1x2y \propto \frac{1}{x^2} or y=kx2y = \frac{k}{x^2}

Direct linear proportion graph feature

Straight line through origin (0,0)(0,0)

Inverse proportion graph shape

Hyperbola approaching axes but never touching them

Symbol for constant of proportionality

kk

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