Question

Does the relation in the table represent direct variation, inverse variation, or neither? If it is director
inverse variation, write an equation to represent the relation. Explain your answer.

Answer 1

9514 1404 393

Answer:

  inverse

  y = 10/x

Step-by-step explanation:

Inverse variation is described by an equation of the form ...

  y = k/x

The value of k is a constant equal to ...

  k = xy = 5·2 = 10·1 = 15·2/3 = 20·1/2 = 10

__

Here, the products of the x- and y-values are all 10, so the inverse variation equation is ...

  y = 10/x