Discussion

If two quantities x and y vary inversely with each other, then which one of the following is true?

Answer: B

The product of their corresponding values remains constant.

Two quantities vary inversely when one increases in the same proportion as the other decreases:

\[ y \propto \frac{1}{x} \quad\Rightarrow\quad xy = k \]

For example, if 6 workers take 10 days, 12 workers take 5 days: 6 × 10 = 12 × 5 = 60.

A constant ratio defines direct variation, which is the common confusion. A constant sum or difference is not a form of variation at all.

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