Respuesta :
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.