Question

A proportional relationship is represented by the equation `2x=18y`. If `x` is proportional to `y`, what is the constant of proportionality?

Answer 1

Constant of proportionality is `9`.

Explanation:

As `xpropy`, `x=ky`, where `k` is the constant of proportionality. It is apparent that `x/y=k`.

As we are given `2x=18y`, diving both sides by `2y`, we get

`(2x)/(2y)=(18y)/(2y)` or

`x/y=9`

Hence, constant of proportionality is `9`.

Answer 2

k= 9

Explanation:

`xpropy" "` can be changed to `x = ky`

In `x = ky`, k is the constant of proportionality.

Write `2x = 18y` in the same format: `x = 18/2y`

`if x = 9y`, then the constant is 9.