Question

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

$x$	$9$	$24$	$15$	$3$
$y$	$8$	$3$	$4$	$25$

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 $y$.

$x$	$9$	$24$	$15$	$3$
$y$	$8$	$3$	$4$	$25$

From the given table, we have
$9\times 8=72$
$24\times 3=72$
$15\times 4=60$
$3\times 25=75$

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.