Answer:
[tex]y=4.5x[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
Find the value of the constant of proportionality in the table
For [tex]x=2, y=9[/tex] ------>[tex]k=9/2=4.5[/tex]
For [tex]x=4, y=18[/tex] ------>[tex]k=18/4=4.5[/tex]
For [tex]x=6, y=27[/tex] ------>[tex]k=27/6=4.5[/tex]
therefore
the equation of the direct variation is equal to
[tex]y=4.5x[/tex]
