Question

17. Does the relation in the table represent direct variation, inverse variation, or neither? If it is

direct or inverse variation, write an equation to represent the relation. Explain your answer.
x 5 10 15 20
y 2 1 2/3 1/2

Answer 1

The relation in the table is neither direct nor inverse variation. In a direct variation, as x increases, y increases proportionally. In an inverse variation, as x increases, y decreases proportionally. However, in this table, as x increases, y does not increase or decrease proportionally. Therefore, there is no constant of proportionality, and the relation is neither direct nor inverse variation.