When two quantities are related together such that when one increases, the other increases as well and vice-versa, then they always vary ____.

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Detailed Solution

When two quantities are related together such that when one increases, the other increases as well and vice-versa, then they always vary directly.
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.
When two quantities are related together such that when one increases, the other increases as well and vice-versa, then they always vary directly.
Example: The perimeter of a square is given by

Perimeter = 4 a

Where the side of the square is

a

unit.

From the table given above, we can clearly see that when the side of a square increases, its perimeter also increases.
Therefore, when two quantities are related together such that when one increases, the other increases as well and vice-versa, then they always vary directly.

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