Question

Complete the following table if $x\propto y$.

$x$	$1$	$2$	$3$	$-$	$5$
$y$	$4$	$8$	$-$	$16$	$-$

Answer 1

$x$	$1$	$2$	$3$	$\beta$	$5$
$y$	$4$	$8$	$\alpha$	$16$	$\gamma$

$x\propto y\Rightarrow \frac{x}{y}=constant$

$\frac{1}{4}=\frac{2}{8}=\frac{3}{\alpha }=\frac{\beta }{16}=\frac{5}{\gamma }$

$\Rightarrow \frac{3}{\alpha }=\frac{\beta }{16}=\frac{5}{\gamma }=\frac{1}{4}$

$\Rightarrow \alpha =12,\beta =4,\gamma =20$