Direct Variation (VCE SSCE General Mathematics): Flashcards

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Direct Variation
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Direct variation definition

Variables related so one increases at constant rate as other increases

Equation form for direct variation

y=kxy = kx where kk is a positive constant

Name for kk in y=kxy = kx

Constant of variation

Symbol meaning 'is proportional to'

\propto

Read yxy \propto x as

yy is proportional to xx

Graph of yy vs xx when yxy \propto x

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

Formula to find constant kk

k=yxk = \frac{y}{x}

In direct variation, as xx increases, yy

Also increases

Alternative phrase for 'varies directly as'

Is directly proportional to

If yxny \propto x^n, equation is

y=kxny = kx^n

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