Question

The ratio 13 to X is equivalent to the ratio 104 to y. Which equation represents y in terms of X?

Answer 1

y=8X

Step-by-step explanation:

The ratio 13 to X = 13:X

The ratio 104 to y = 104:y

If they are equivalent, we have that:

`13\colon X=104\colon y`

We write the ratios in fraction form.

`(13)/(X)=(104)/(y)`

We then make y the subject of the equation.

`\begin{gathered} 13y=104X \\ y=(104X)/(13) \end{gathered}`

We can simplify further to get:

`\begin{gathered} y=(13*8X)/(13) \\ y=8X \end{gathered}`

This is the equation that represents y in terms of X.