Question

Which best describes the function on the graph?

Answer 1

Question:

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

d. inverse variation; k=2

The image of the graph is attached below:

Answer:

Option d: inverse variation; k = 2

Explanation:

An inverse variation of two variable in which if one of the variable increases, then the other variable decreases at the same rate.

Also , if one of the variable decreases, then the other variable increases at the same rate.

An inverse variation never passes through the origin.

An inverse variation is represented by the equation $xy=k$ or $y=\frac{k}{x}$

Thus, substituting k=2 in the equation $y=\frac{k}{x}$, we get,

$y=\frac{2}{x}$

Thus, the image of the graph $y=\frac{2}{x}$ is attached below:

Hence, the solution is inverse variation; k=2