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 yx 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.