Question

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

Answer 1

3 i think it might be

Answer 2

The correct option is 3.

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.