A proportional relationship is a relationship between 2 variable where the rations are the same. In a proportional realationship their is always a constant also known as constant of proportionality . Let us take a look at the following table as an example and determine if the table exhibit a proportional relationship
Let us prove the table represent a proportional relationship by checking if the ratios are the same through out
[tex]\begin{gathered} \frac{4}{6}=\frac{2}{3} \\ \frac{6}{9}=\frac{2}{3} \\ \frac{8}{12}=\frac{2}{3} \\ \frac{10}{15}=\frac{2}{3} \\ \frac{14}{21}=\frac{2}{3} \end{gathered}[/tex]
The ratio is the same(2/3) Therefore, the table represent a proportional relationship.
