Determine if the following table represents a direct variation, inverse variation, or no variation:

Question

x y
2 8
4 4
8 2

Answer 1

The table represents an inverse variation. As x increases, y decreases in a way that x * y remains constant. For example, when x = 2, y = 8, and when x = 8, y = 2, which means 2 * 8 = 16 and 8 * 2 = 16. The product of x and y is always 16, indicating inverse variation.