Inverse Variation Models (HSC SSCE Mathematics Advanced): Flashcards

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Inverse Variation Models
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In inverse variation, as one quantity increases, the other...

Decreases

Basic inverse proportionality formula

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

Name for constant kk in inverse variation

Constant of proportionality (or constant of variation)

Graph shape of inverse variation

Hyperbola

General inverse variation form with power

y=kxny = \frac{k}{x^n}

Role of power nn in inverse variation

Determines how quickly yy decreases as xx increases

How to find constant kk

Substitute known values of xx and yy, then solve for kk

Direct variation formula

y=kxny = kx^n

Effect when distance doubles in inverse square relationship

Intensity becomes one-quarter

Phrase that identifies inverse variation

Varies inversely with

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