Question

Which table represents a direct variation function?

Answer 1

3 i think it might be

Answer 2

Answer:

The correct option is 3.

Step-by-step explanation:

A function is direct variation function if

$y\propto x$

$y=kx$

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.

$y=-2x$

At x=-5,

$y=-2(-5)=10$

At x=-4,

$y=-2(-4)=8$

At x=-3,

$y=-2(-3)=6$

At x=-2,

$y=-2(-2)=4$

At x=-1,

$y=-2(-1)=2$

Therefore the correct option is 3.