For each table, determine whether it shows a direct variation, an inverse variation, or neither.

Question

Write the equation for the direct or inverse variation when it exists.
x y
2 1
4 2
5 2.5

Direct variation
Equation:

Inverse variation
Equation:

Neither

Answer 1

This table shows a direct variation.

The equation for direct variation is y = kx, where k is the constant of proportionality.

For the given table:
k = y/x = 1/2 = 0.5

Therefore, the equation for direct variation is y = 0.5x.