# Suppose y varies inversely with x. How do you write an equation for each inverse variation given y = 15 when x = 2?

Jul 2, 2016

$y = \frac{15}{x}$

#### Explanation:

Write an inverse proportion first:

$y \propto \frac{1}{x}$

Make a proportion into an equation by multiplying by a constant.#

$y = \frac{k}{x} \text{ Now find the value of the constant}$

$k = x y \Rightarrow 2 \times 15 = 30$

The inverse proportion then becomes:

$y = \frac{15}{x}$