Question

The table shows a proportional relationship.

x y
0 0
2 9
4 18
6 27

Complete the equation that represents the table.

Enter your answer as a decimal in the box. y =___x

Answer 1

y=4.5x because 0/4.5=0, 9/2=4.5 18/4=4.5, and 27/6=4.5

Answer 2

`y=4.5x`

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

Find the value of the constant of proportionality in the table

For
`x=2, y=9` ------>
`k=9/2=4.5`

For
`x=4, y=18` ------>
`k=18/4=4.5`

For
`x=6, y=27` ------>
`k=27/6=4.5`

therefore

the equation of the direct variation is equal to

`y=4.5x`