Question

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

Answer 1

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.