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

yxy \propto x or y=kxy = kx

Quadratic proportion notation

yx2y \propto x^2 or y=kx2y = kx^2

Cubic proportion notation

yx3y \propto x^3 or y=kx3y = kx^3

Simple inverse proportion notation

y1xy \propto \frac{1}{x} or y=kxy = \frac{k}{x}

Quadratic inverse proportion notation

y1x2y \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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