Direct Variation Models (HSC SSCE Mathematics Advanced): Flashcards

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Direct Variation Models
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Direct variation definition

Proportional relationship; quantities change together

General formula for direct variation

y=kxny = kx^n

Meaning of kk in y=kxny = kx^n

Constant of proportionality

Meaning of nn in y=kxny = kx^n

Power of the relationship

Graph feature of direct variation

Always passes through origin (0,0)(0,0)

Value of yy when x=0x = 0 in direct variation

y=0y = 0

Type of variation when n=1n = 1

Linear variation

Type of variation when n=2n = 2

Quadratic variation

Type of variation when n=3n = 3

Cubic variation

How quantities move in direct variation

Both increase together or both decrease together

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