Which best describes the function on the graph?
a. direct variation; k = 2
b. direct variation; k = 1/2
c. inverse variation; k = 1/2
inverse variation; k=2

The right answer is d. inverse variation; k=2

Inverse variation means that when increasing a variable the other decreases at the same rate or vice versa. So, we can write this statement as the following equation:

So, by plotting this equation, the result is shown in the Figure below. As you can see, this graph matches the graph above, so the conclusion is that the function has an inverse variation with k=2