Determine whether the following statement is true.

If (*r*, *a*) and (*v*, *f*) both satisfy inverse variation, then
.

Choices:

A. yes

B. no

** Correct Answer: A**

** Step 1:** The formula for an inverse variation is *xy* = *k*, where
.

**Step 2:** Substitute (*r*, *a*) in the equation.

**Step 3: ***ra* = *k*

**Step 4:** Substitute (*v*, *f*) in the equation.

**Step 5:** *vf* = *k*

**Step 6:** So, *ra* = *vf*

**Step 7:** [Divide throughout by *v*.]

**Step 8:** [Divide throughout by *a*.]

**Step 9:** So, the given statement is true.