# Assume that y varies inversely with x and that y is 2 when x is 4. Which of the following is the equation of inverse variation?

May 24, 2016

$y = \frac{8}{x}$

#### Explanation:

The question state: "Which of the following...." The is nothing shown after the question so ' the following ' part of the question is missing.

Given:$\text{ "y" " alpha" " 1/x" The "alpha" means - proportional to}$

Let $k$ be the coefficient of proportionality

$y = k \times \frac{1}{x} = \frac{k}{x}$

Given that at $y = 2$ the value of $x$ is 4

$2 = \frac{k}{4}$

Multiply both sides by 4

$8 = k$

So the final equation is:

$y = \frac{8}{x}$