Question

When x = 6, y = 4. If y is proportional to x, what is the value for y when x = 9?

Answer 1

y=6

Explanation:

We can solve this problem by simply using a proportion.

When x=6, y=4. The ratio of x to y can be written as
`(x)/(y)`.

If we substitute the values, we will get
`(6)/(4)`, and this can be reduced to
`(3)/(2)`.

We don't know what y is when x=9, so let's leave y alone and write:
`(9)/(y)`

Set up a proportion and solve. We have:

`(6)/(4) =(9)/(y) =\\6y=4*9=\\6y=36=\\y=6`

Thus, when x=9, y=6.