Question

If $n$ varies directly as $m$, complete the following table.

$m$	3	5	6.5	.	1.25
$n$	12	20	.	28	..

Answer 1

given m varies directly as n

therefore let $n=k\times m$

substituting the values we get $12=k\times 3$

$\Rightarrow k=4$

now for $m=6.5,n=4\times 6.5=26$

$n=28\Rightarrow m=\frac{28}{4}=7$

$m=1.25\Rightarrow n=4\times 1.25=5$