Inverse Variation (HSC SSCE Mathematics Standard): Flashcards

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Inverse Variation
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Inverse variation definition

As one quantity increases, the other decreases proportionally

Inverse variation formula

y=kxy = \frac{k}{x} where kk is constant

What is kk in inverse variation?

Constant of variation (a fixed number)

Alternative form of y=kxy = \frac{k}{x}

xy=kxy = k

How to read: 'yy inversely proportional to xx'

As xx increases, yy decreases proportionally

More painters means ___ time to paint a house?

Less time

In inverse variation, xyxy always equals what?

kk (the constant)

Step 2 of solving inverse variation problems

Find kk by substituting known values

How to verify inverse variation answer is correct?

One increases → other decreases

First step to solve inverse variation problems

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

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