Direct and Inverse Proportion (Edexcel GCSE Maths): Flashcards

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Direct and inverse proportion
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Meaning of symbol ∝\propto

Is proportional to

Direct proportion definition

Variables increase/decrease together at same rate

Direct proportion equation form

y=kxy = kx (where kk is constant)

Direct proportion graph feature

Straight line through origin (0,0)

Inverse proportion definition

One variable increases as other decreases

Inverse proportion equation form

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

Inverse proportion graph shape

Hyperbola (curved shape)

Direct proportion: if one doubles, the other...

Doubles too

Inverse proportion: if one doubles, the other...

Halves

Convert y∝x2y \propto x^2 to equation

y=kx2y = kx^2

Convert y∝1x2y \propto \frac{1}{x^2} to equation

y=kx2y = \frac{k}{x^2}

Step 1 of 5-step proportion method

Convert to proportionality statement using ∝\propto

Step 2 of 5-step proportion method

Replace ∝\propto with =k= k

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