select the tables that show a proportional relationship between x and y. work it out not feeling ready yet…

Explanation:

Step1: Check the first table

For the first table, when (x = 8), (y = 8), (\frac{y}{x}=\frac{8}{8} = 1); when (x = 10), (y = 10), (\frac{y}{x}=\frac{10}{10}=1); when (x = 12), (y = 12), (\frac{y}{x}=\frac{12}{12}=1). The ratio (\frac{y}{x}) is constant ((k = 1)).

Step2: Check the second table

For the second table, when (x = 1), (y = 5), (\frac{y}{x}=\frac{5}{1}=5); when (x = 2), (y = 8), (\frac{y}{x}=\frac{8}{2} = 4); when (x = 5), (y = 17), (\frac{y}{x}=\frac{17}{5}=3.4). The ratio (\frac{y}{x}) is not constant.

Answer:

Only the first table (with (x = 8,y = 8); (x = 10,y = 10); (x = 12,y = 12)) shows a proportional relationship.