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 direct or inverse? and whats the equation?
5 4
6 4.8
10 8

Answer 1

This table shows a direct variation.

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

Using the first pair of values (5, 4):
4 = 5k
k = 4/5 = 0.8

Therefore, the equation for this direct variation is y = 0.8x.