# Suppose that x and y vary inversely, how do you write a function that models each inverse variation when given x=1.2 when y=3?

Jun 15, 2015

In an inverse function: $x \cdot y = C$, $C$ being the constant.

#### Explanation:

We use what we know:
$1.2 \cdot 3 = 3.6 = C$

In general, since $x \cdot y = C \to$:

$x \cdot y = 3.6 \to y = \frac{3.6}{x}$
graph{3.6/x [-16.02, 16.01, -8.01, 8.01]}