Question

Tell whether the tables show a proportional relationship between x and y

Answer 1

Answer:

Yes

Step-by-step explanation:

Everything in the "x" row is being multiplied by 3.

Answer 2

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.