Question

Does the table below show a proportional relationship? If so, what is the value of y when x is 20? If not, explain why not.

Answer 1

SOLUTION:

To check if the table shows a proportional relationship, we determine the constant of proportionality in each case, they should be equal in all cases for proportionality. Else, they are not.

$\begin{gathered} x=ky \\ k=\frac{x}{y} \end{gathered}$

Taking ratio corresponding x and y's we find that;

$\frac{12}{3}\ne\frac{14}{11}\ne\frac{16}{19}\ne\frac{18}{27}$

Thus, the table does NOT show a proportional relationship