Question

Write the equation expressing the relationship "y varies directly as x." use k as the constant of proportionality.

Answer 1

The equation expressing the relationship "y varies directly as x" using k as the constant of proportionality is y = kx  hope this helps

Answer 2

The equation expressing the statement "y varies directly as x" is
`y=kx.`

Step-by-step explanation

The statement that
`y` varies directly as
`x` is analogous to saying that the ratio of
`y` to
`x` is constant. In other words, when
`x` increases,
`y` likewise increases and that when
`x` decreases,
`y` decreases proportionally.

Mathematically, we express the relationship that the ration of
`y` is to
`x` is constant is expressed as;
`(y)/(x) =k` where
`k` is the constant of proportionality.

We can then solve the relationship for
`y` to determine the correct form of the relationship as shown below,

`(y)/(x) =k\\\rightarrow y=kx`