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