Question

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

$x$	$75$	$45$	$30$	$20$	$10$
$y$	$10$	$30$	$25$	$35$	$65$

Answer 1

We know that,

$x$ and $y$ is in inverse variation when, $xy=$ constant.

Here,

For 1st pair, $xy=75\times 10=750$

For 2nd pair, $xy=45\times 30=1350$

For 3rd pair, $xy=30\times 25=750$

For 4th pair, $xy=20\times 35=700$

For 5th pair, $xy=10\times 65=650$

We see that in each case $xy$ is not same.

$\therefore$ The variables are not in inverse variation.