Inverse Variation Models (HSC SSCE Mathematics Advanced): Quizzes

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Inverse Variation Models
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What happens to one quantity in an inverse variation when the other quantity increases?

It decreases

What is the general form for inverse variation where yy varies inversely with xx?

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

In the equation y=kxy = \frac{k}{x}, what is kk called?

Constant of proportionality

What shape does the graph of an inverse variation relationship form?

A hyperbola

How do you find the constant kk in an inverse variation model?

Substitute known values & solve for kk

Which is an example of inverse variation?

Speed needed vs time for fixed distance

If I=100d2I = \frac{100}{d^2} models light intensity, what is the intensity at d=5d = 5 metres?

44 lumens per square metre

Given T=36W2T = \frac{36}{W^2}, how many workers are needed to complete a project in 1 day?

66 workers

What distinguishes inverse variation from direct variation?

One increases while other decreases

When distance from a light is doubled, what happens to intensity (inverse square relation)?

Becomes one-quarter

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