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If $x$ and $y$ and are directly proportional, then what is the relation between $x$ are directly proportional, then what is the relation between and $y$ and for some positive constant k?

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x y = k

x y = k

x − y = k

x + y = k

answer is B.

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Detailed Solution

It is given that two variables

x

and

y

are directly proportional.
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.
Hence, option (2) is correct.

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