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

Question

Jayce Christensen

Mathematics

2 March, 19:09

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

+5

Answers (1)

Know the Answer?

Stein · 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.

Identify which table shows a direct variation.Table 1x y2 26 129 18Table 2x y2 146 429 63A.Table 1B.Table 2C.Table 1 and Table 2D.Neither table

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