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When two quantities $x$ and $y$ and vary in direct proportion to one another, then ____ of their corresponding values does not change.

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Detailed Solution

When two quantities

x

and

y

vary in direct proportion to one another, then the ratio of their corresponding values does not change.
It is given that two quantities

x

and

y

vary in direct proportion to one another.
We know that if two quantities

x

and

y

vary in the same way while maintaining a constant ratio between their respective values, then the two quantities are said to be in direct proportion.
i.e.

x y = k,

where k is a constant positive number.
Therefore, when two quantities

x

and

y

vary in direct proportion to one another, the ratio of their corresponding values does not change.

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