Question

The variables y and x have a proportional relationship, and y = 9 when x = 2.

What is the value of y when x = 3?

Answer 1

Answer:
`y=13.5`

Explanation:

1. By definition, if
`y=9` when
`x=2`, then:

`(y)/(x)=(9)/(2)`

2. Keeping this on mind, to find the value of
`y` when
`x=3`, you must apply the following proccedure:

`(y)/(3)=(9)/(2)`

3. Now, you must solve for
`y`, as following:

`y=3((9)/(2))\\y=(27)/(2)\\y=13.5`

4. Then, the result is:

`y=13.5`