Question

The table below shows the x variable for a table. Choose a corresponding y table that will create a direct variation.

Answer 1

table A

Explanation:

A direct variation can be expressed as:
`(y)/(x)=k`. The y/x is equal to a constant value k. Multiply both sides by x you get:
`y=kx`. So as x increases by 1, y increases by some constant value. So to find which one will create a direct variation, see which of the tables has a constant y/x

Table A:
7/2 = 3.5

14/4 =3.5

17.5/5=3.5

21/6 = 3.5

this has a constant y/x so it is a direct variation

Table B:

7/2 = 3.5

14/4 = 3.5

21 / 5 = 4.2

this is not a direct variation, it doesn't have a constant y/x

table C:

7 / 2 = 3.5

14 / 4 = 3.5

15/5 = 3

This is not a direct variation, it doesn't have a constant y/x

table d:
7/2 = 3.5

14/4 =3.5

17/5=3.4

This is not a direction variation, it doesn't have a constant y/x