#### Answer

$y$ varies inversely as $x$

#### Work Step by Step

- First: as $x$ increases, $y$ decreases.
- Second: when $x$ goes from 1 to 2 (2 is the double of 1), $y$ goes from 4 to 2 (2 is half of 4). When $x$ goes from 2 to 4 (4 is the double of 2), $y$ goes from 2 to 1 (1 is half of 2)
We conclude that $y$ varies inversely as $x$