Question

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

$x$	$4$	$3$	$12$	$1$
$y$	$6$	$8$	$2$	$24$

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 $y$

$x$	$4$	$3$	$12$	$1$
$y$	$6$	$8$	$2$	$24$

From the given table, we have
$x\times y=4\times 6=3\times 8=12\times 2=1\times 24=24$

Clearly, the products of the values of $x$ and the corresponding values of $y$ are fixed and is equal to $24$.

Hence, $x$ and $y$ vary inversely with each other.