Determine if the tables and graph below express a direct variation between the variables or not. If they do, find the constant of variation and an equation that defines the relation.

*Determine if the tables and graph below express a direct variation between the variables or not. If they do, find the constant of variation and an equation that defines the relation.*

The values of the table must be equal to each other as per equation k = y/x to show that the table is a constant of variation. If the values are not equal, then it is not a direct variation.

1.)

k = constant of variation

y = kx

k = y/x

6/2 = 12/4 = 18/6 = 24/8

3 = 3 = 3 = 3

Yes, they express a direct variation with k = 3.

The equation formed is y = 3x

2.)

k = constant of variation

y = kx

k = y/x

8/12 = 10/8 = 12/4 = 16/2

2/3 ≠ 5/4 ≠ 3 ≠ 8

No, this is not a direct variation because the constant values are not equal

*#CarryOnLearning*

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