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.

Explanation:

Answer 2

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.