Question

Check whether $x\text{and}y$ vary inversely or not:

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

Answer 1

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

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

Let $x_1=4,x_2=3,x_3=12,x_4=1$

$y_1=6,y_3=8,y_3=2,y_4=24$

Finding the product of $x\text{and}y$ in each case:
(1) $x_1{y}_1=4\times 6=24$
(2) $x_2{y}_2=3\times 8=24$
(3) $x_3{y}_3=12\times 2=24$
(4) $x_4{y}_4=1\times 24=24$

Since, $x_1{y}_1=x_2{y}_2=x_3{y}_3=x_4{y}_4$

Therefore, $x\text{and}y$ vary inversely.