Question

In which of the following tables $x$ and $y$ vary inversely:

$x$	$4$	$3$	$6$	$1$
$y$	$9$	$12$	$8$	$36$

Answer 1

Check if $x$ and $y$ vary inversely

We know that,
If $x$ and $y$ vary inversely, then the product $xy$ remains same for all values of $x$ and $y$

$x$	$4$	$3$	$6$	$1$
$y$	$9$	$12$	$8$	$36$

From the given table, we have
$4\times 9=36$
$3\times 12=36$
$6\times 8=48$
$1\times 36=36$

Clearly, the products of the values of $x$ and the corresponding values of $y$ are not fixed.

Hence, $x$ and $y$ do not vary inversely with each other.