Which table represents a direct variation function?

x y x y x y
-3 -4.5 -5.5 -3 -3 -7.5
-1 -3.0 -5.5 -1 -1 -2.5
2 -1.5 -5.5 2 2 5.0
5 0.0 -5.5 5 5 12.5
10 1.5 -5.5 10 10 25.0

x y
-5.5 10
-4.5 8
-3.5 6
-2.5 4
-1.5 2

Respuesta :

The answer to this question is B Ed

The table that represents a direct variation function is

x y

-3 -7.5

-1 -2.5

2 5.0

5 12.5

10 25.0

How to determine the table?

For a table to represents a direct variation, the following must be true

k = y/x

Where k represents the constant of variation

In table 3,  we have:

k = 25.0/10 = 12.5/5 = 5.0/2 = -2.5/-1 = -7.5/-3

This gives

k = 2.5

The value of k is the same for all input and output values

Hence, the table that represents a direct variation function is the table 3

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