Question

Observe the table and find if pair of variables (here x and y) are in inverse variation:

$x$	$90$	$60$	$45$	$30$	$20$
$y$	$10$	$15$	$20$	$30$	$45$

Answer 1

We know that,

$x$ and $y$ is in inverse variation when,

$xy=$ constant.
Here,
For 1st pair,

$xy=90\times 10=900$
For 2nd pair,
$xy=60\times 15=900$
For 3rd pair,
$xy=45\times 20=900$
For 4th pair,
$xy=30\times 30=900$
For 5th pair,
$xy=20\times 45=900$
We see that in every case, $xy$ is constant.
$\therefore$ the variables are in inverse variation.