Question

In which of the following tables $x$ and $y$ vary directly?
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$x$	$2$	$3$	$4$	$5$	$6$
$y$	$6$	$9$	$12$	$17$	$20$

Answer 1

Step: Check if $x$ and $y$ vary directly​

$x$	$2$	$3$	$4$	$5$	$6$
$y$	$6$	$9$	$12$	$17$	$20$

From the given table we have,

$\frac{2}{6}=\frac{3}{9}=\frac{4}{12}\ne \frac{5}{17}\ne \frac{6}{20}$

It is evident that the ratio of corresponding values of $x$ and $y$ is not constant.

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