Answer
Yes, this table represents a direct variation.
Equation: y=1.8x
Work Step by Step
In order for a table to represent a direct variation, the ratio of $\frac{y}{x}$ needs to be constant so lets divide each y value with its respective x value:
5.4/3=1.8
12.6/7=1.8
21.6/12=1.8
Since the ratio is constant, this table represents a direct variation.
Now in order to find the equation, plug in our constant ratio (k) into the standard form of a direct variation (y=kx)
y=1.8x
So this is our equation for the direct variation.
