Answer:
table A
Step-by-step explanation:
A direct variation can be expressed as: [tex]\frac{y}{x}=k[/tex]. The y/x is equal to a constant value k. Multiply both sides by x you get: [tex]y=kx[/tex]. 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
