Question

Which table does not show a direct variation?

Answer 1

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 ($\frac{y}{x}$).

Analysing Table F:

The relationship between x and y is 4.

$\frac{-8}{-1}=4\\\\\frac{-4}{-1}=4\\\\\frac{0}{0}= origin\\\\\frac{4}{1}=4$

The origin is fine and doesn't ruin the relationship.

Analysing Table G:

The relationship between x and y is 5.

$\frac{5}{1}=5\\\\\frac{10}{2}=5\\\\\frac{15}{3}=5\\\\\frac{20}{4}=5$

Analysing Table H:

The relationship between x and y is $\frac{1}{3}$.

$\frac{0}{0}=origin\\\\\frac{1}{3}=\frac{1}{3}\\\\\frac{2}{6}=\frac{1}{3}\\\\\frac{3}{9}=\frac{1}{3}$

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.

$\frac{1}{1}=1\\\\\frac{4}{2}=2\\\\\frac{9}{3}=3\\\\\frac{16}{4}=4$