# How do you write the inverse variation equation of the following: Y varies inversely with x and y = 9 when x = 14?

May 2, 2017

$y = 126 \left(\frac{1}{x}\right) = \frac{126}{x}$

#### Explanation:

y varies inversely with x means
$y \propto \frac{1}{x}$
$y = k \left(\frac{1}{x}\right)$ where k is a contant

when $y = 9 , x = 14$, plug in these value accordingly.

$9 = k \left(\frac{1}{14}\right)$$\to k = 9 \cdot 14 = 126$

therefore it equation is

$y = 126 \left(\frac{1}{x}\right) = \frac{126}{x}$