Question

The left column of the chart lists the lengths of input pieces of ribbon. Stretching machines are listed across the top. The other countries are the outputs for sending the input ribbon from that row through the machine from that column. Copy and complete the chart.

Input Length			Machine
	$x2$
	$1$	$5$
$3$			$15$
	$14$		$35$

Answer 1

There on column on left which is input and $3$ columns on right of that which represent output of each machine .

Stretching value of each machine is given in second row.

So, from third row we know that $(\times 2)$ machine gives output $1$

So, input of third row is $\frac{1}{2}=0.5$

And, second machine gives output $5$,

So stretching power of second machine is $\frac{5}{0.5}=\times 10$

Now, from fourth row, output of last machine is $15$ and input is $3$

So, stretching power of third machine is $\frac{15}{3}=\times 5$

For , fifth row output of first machine $(\times 2)$ is $14$

So, input of fifth row is $\frac{14}{2}=7$

We, have all inputs and all stretching power, so we can prepare table and fill remaining places:

So, table will be

input length	machine $1$	machine $2$	machine $3$
	$(\times 2)$	$(\times 10)$	$(\times 5)$
$0.5$	$1$	$5$	$2.5$
$3$	$6$	$30$	$15$
$7$	$14$	$70$	$35$