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Option A is the relationship which shows a direct variation.
Step-by-step explanation:
The direct variation is a relationship between two variables in which one is the multiple of the other. It is given by the relation
Option A:
For and
,
For and
,
Since, the constant k is equal for all the values of x and y in the table, this relationship is a direct variation.
Option B:
For and
,
For and
,
Since, the values of constant k is not equal for all the values of x and y in the table, this relationship is not a direct variation.
Option C:
For and
For and
Since, the values of constant k is not equal for all the values of x and y in the table, this relationship is not a direct variation.
Option D:
For and
For and
Since, the values of constant k is not equal for all the values of x and y in the table, this relationship is not a direct variation.
Thus, Option A is the relationship which shows direct variation.