Question

which relationship have the same constant of proportionality between y and x as the following table. x 4 7 8 y 32 56 64

Answer 1

The constant of proportionality can be calculated using any pair (x,y) and calculate the quotient y/x.

For example, we can take the first row:

$k=\frac{32}{4}=8$

The constant of proportionality is 8.

Then, the equation is:

$y=8x$

The relation 3y=24x is the same as y=8x, because:

$\begin{gathered} 3y=24x \\ y=\frac{24}{3}x \\ y=8x \end{gathered}$