Question

Check whether x and y vary inversely or not:

$x$	$30$	$120$	$60$	$24$
$y$	$60$	$30$	$30$	$75$

Answer 1

Finding the product of $x\text{and}y$ in each case

$x$	$30$	$120$	$60$	$24$
$y$	$60$	$30$	$30$	$75$

Let $x_1=30,x_2=120,x_3=60,x_4=24$

$y_1=60,y_2=30,y_3=30,y_4=75$

Finding the product of $x\text{and}y$ in each case:
(1) $x_1{y}_1=30\times 60=1800$
(2) $x_2{y}_2=120\times 30=3600$
(3) $x_3{y}_3=60\times 30=1800$
(4) $x_4{y}_4=24\times 75=1800$

Here, $xy$ are not equal.

Therefore, $x\text{and}y$ does not vary inversely.