In an inversely proportional relationship, as one variable increases, the other decreases, and vice versa. For example, consider the equation
y
=
k
x
y=
x
k
, where
y
y and
x
x are variables, and
k
k is a constant.
In this equation,
y
y and
x
x have an inversely proportional relationship because as
x
x increases,
y
y decreases, and if
x
x decreases,
y
y increases. The presence of the reciprocal (
1
x
x
1
) signifies the inverse relationship.