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Identify which table shows a direct variation.

Table 1

x y

2 2

6 12

9 18

Table 2

x y

2 14

6 42

9 63

A.

Table 1

B.

Table 2

C.

Table 1 and Table 2

D.

Neither table

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Answers (1)
  1. 2 March, 19:20
    0
    A direct variation is a relationship between two variables that is a constant multiple of the other.

    In table 1, x=2 and y=2 in the first row, but then x=6 and y=12 in the next. This means the relationship is not constant and therefor not a direct variation.

    In table 2, y/x=7 for each set of variables. That means the relationship is constant and it is a direct variation.

    So the answer is B. Table 2.
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