step 1
Verify if the relationship is a direct variation
The equation of a direct variation is
y=Kx
where
K is a constant of proportionality
K=y/x
For the ordered pair (3,9) --------> k=9/3=3
(9,27) ----------> k=27/9=3
(13,39) ----------> k=39/13=3
(20,60) -----> k=60/20=3
The value of K is the same for all ordered pairs
that means
The relationship represents a direct variation
and the equation is
y=3x