Question

Complete the following table if $c\propto \frac{1}{d}$

$c$	$16$	____	$2$	____
$d$	$4$	$8$	____	$64$

Answer 1

If $c\propto \frac{1}{d}$
$\Rightarrow cd=k$
where $k$ is constant of proportionality.
$k=cd=16\times 4=64$
$k=c\times 8$
$64=c\times 8$
$c=8$
(b) $k=2\times d$
$64=2\times d$
$d=32$
(c) $k=c\times 64$
$64=c\times 64$
$c=1$