Answer:
Table J
Step-by-step explanation:
A direct variation is a simple relationship between x and y.
When you are looking for the direct relationship you should use the formula for it y=kx, or you could just divide y over x ([tex]\frac{y}{x}[/tex]).
Analysing Table F:
The relationship between x and y is 4.
[tex]\frac{-8}{-1}=4\\\\\frac{-4}{-1}=4\\\\\frac{0}{0}= origin\\\\\frac{4}{1}=4[/tex]
The origin is fine and doesn't ruin the relationship.
Analysing Table G:
The relationship between x and y is 5.
[tex]\frac{5}{1}=5\\\\\frac{10}{2}=5\\\\\frac{15}{3}=5\\\\\frac{20}{4}=5[/tex]
Analysing Table H:
The relationship between x and y is [tex]\frac{1}{3}[/tex].
[tex]\frac{0}{0}=origin\\\\\frac{1}{3}=\frac{1}{3}\\\\\frac{2}{6}=\frac{1}{3}\\\\\frac{3}{9}=\frac{1}{3}[/tex]
Like I said before the origin doesn't ruin the relationship so it's fine.
Analysing Table J:
This one doesn't have a direct relationship between x and y.
[tex]\frac{1}{1}=1\\\\\frac{4}{2}=2\\\\\frac{9}{3}=3\\\\\frac{16}{4}=4[/tex]
