Does the following set of data represent an inverse or direct variation?

x - 1 0 1 2 3

y 2 0 - 2 - 4 - 6

Direct Variation

Inverse Variation

Direct variation

Step-by-step explanation:

In direct variation, the output is always found by multiplying the input by a certain number, called the constant of variation.

Formula for direct variation: y = kx

Here, when x = - 1, y is 2. Subbing these values into y = kx, we get:

2 = k (-1). The const. of var. turns out to be - 2.

Now test whether this conclusion applies to the other inputs:

When x = 0, is y = 0, as the table says? Yes.

When x = 1, is y = - 2, as the table says? Yes.

Same for inputs 2 and 3; the outputs stem directly from y = - 2x.

This set of data represents direct variation.