Answer: There is a direct proportional relationship
Explanation:
Divide each y value over its corresponding paired x value
First column: y/x = 3/1 = 3
Second column: y/x = 6/2 = 3
Third column: y/x = 9/3 = 3
Fourth column: y/x = 12/4 = 3
Each time we get the same result, so k = y/x = 3 is the constant of variation
The equation is y = 3x which is in the form y = kx with k = 3.
For instance, if x = 4, then y = 3x = 3*4 = 12.
All direct proportional relationship equations are linear and go through the origin.
