Inverse Variation (HSC SSCE Mathematics Standard): Quizzes

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Inverse Variation
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In inverse variation, what happens to one quantity when the other increases?

It decreases proportionally

Which formula represents inverse variation?

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

What does kk represent in the inverse variation formula y=kxy = \frac{k}{x}?

The constant of variation

In inverse variation, the product of the two variables equals what?

The constant kk

What is the first step in solving an inverse variation problem?

Write the equation y=kxy = \frac{k}{x}

If cost per person c=knc = \frac{k}{n}, and c=36c = 36 when n=50n = 50, find kk.

k=1800k = 1800

Using c=1800nc = \frac{1800}{n}, what is the cost per person when n=20n = 20?

90

Using n=224tn = \frac{224}{t}, how many people are waiting when t=4t = 4 minutes?

56 people

More painters means less time to paint a house. What type of relationship is this?

Inverse variation

Number of people waiting nn is inversely proportional to time tt. Which equation is correct?

n=ktn = \frac{k}{t}

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