Question

Joe plotted the points (2, 0.5), (1, 1), and (0.5, 2), and claimed that these points represent an inverse variation relationship. Which statement supports his claim?
xy = 1 for all points.
xy = for all points.
The graph of these points will be linear.
Inverse variation states that as one quantity increases, the other quantity also increases.

Answer 1

Xy = 1 for all points.

 We are going to demonstrate this affirmation:
 (2) * (0.5) = 1
 (1) * (1) = 1
 (0.5) * (2) = 1
 Therefore, the relationship between the ordered pairs is inverse.
 The relationship between the ordered pairs is:
 y = 1 / x

 Answer: 
 xy = 1 for all points.