Which table does NOT show direct variation?​

Answer:

Tables 3. The one in the bottom left corner.

Step-by-step explanation:

The values of table C is not in variation.

Two sorts of quantities typically exist in a mathematical equation when a relationship is established for a certain type of parameter. One is a constant that stays the same regardless of how the other variables in the equation vary, and the other is a variable that changes depending on the circumstances. Variation is the term used to describe the changing of variables.

Given tables,

A direct variation is a straightforward relationship between x and y. To find a direct relationship, either use the formula y = kx or divide y over x (y/x).

Relation for table A

y /x =  -3/1 = -3

y /x = -9/3 = -3

y /x = -18/6 = -3

y /x = -36/12 = -3

relation is in variation.

Relation for  table B

y /x =  3/1 = 3

y /x = 9/3 = 3

y /x = 18/6 = 3

y /x = 36/12 = 3

relation is in variation.

Relation for  table C

y /x =  4/1 = 4

y /x =  6/3 = 2

y /x =  9/6 = 3/2

y /x =  15/12 = 5/3

Equation doesn't have a direct relationship between x and y.

Relation for  table D

y /x = 2/1 =2

y /x = 6/3 = 2

y /x = 12/6 = 2

y /x = 24/12 = 2

relation is in variation.

Hence the table C is not in variation.

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