Question

Find the correct relationship between x and y from the given table

$\begin{array}{cccccc}X& 1& 2& 3& 4& ...\\ Y& 4& 8& 12& 16& ...\end{array}$

Answer 1

As x=1, we can write $y=4=4\times 1=4\times x...\left(I\right)$

For x=2, y=8

y can be rewritten as $y=4\times 2=4\times x$

As x = 2, we can write y = 4x ...(II)

For x = 3, y = 12

y can be rewritten as $y=4\times 3$

As x = 3, we can write $y=4\times x=4x...\left(III\right)$

For x = 4, y = 16

y can be rewritten as $y=4\times 4$

As x = 4, we can write $y=4\times x=4x...\left(IV\right)$

From equation (I),(II),(III) and (IV), we get y = 4x