Which table represents a direct variation function?

Input (x)
2
3
4
5
6
Output (y)
7
8
9
10
11

Input (x)
2
4
6
8
10
Output (y)
-3
-5
-6
-7
-8

Input (x)
-5
-4
-3
-2
-1
Output (y)
10
8
6
4
2

Input (x)
-2
1
0
1
2
Output (y)
-3
-3
-3
-3
-3

Respuesta :

3 i think it might be

Answer:

The correct option is 3.

Step-by-step explanation:

A function is direct variation function if

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

where, k is the constant of proportionality.

It means the value of y is k times of x. Only table 3 represents a direct variation function because each value of y is -2 times of x.

[tex]y=-2x[/tex]

At x=-5,

[tex]y=-2(-5)=10[/tex]

At x=-4,

[tex]y=-2(-4)=8[/tex]

At x=-3,

[tex]y=-2(-3)=6[/tex]

At x=-2,

[tex]y=-2(-2)=4[/tex]

At x=-1,

[tex]y=-2(-1)=2[/tex]

Therefore the correct option is 3.