select the tables that show a proportional relationship between x and y.\nwork it out\nnot feeling ready…

Explanation:

Step1: Calculate the ratio for the first table

For the first table: When (x = 2,y = 5), the ratio (\frac{y}{x}=\frac{5}{2}=2.5) When (x = 4,y = 10), the ratio (\frac{y}{x}=\frac{10}{4}=2.5) When (x = 6,y = 15), the ratio (\frac{y}{x}=\frac{15}{6}=2.5) Since the ratio (\frac{y}{x}) is constant ((k = 2.5)), it is a proportional relationship.

Step2: Calculate the ratio for the second table

For the second table: When (x = 4,y = 3), the ratio (\frac{y}{x}=\frac{3}{4}=0.75) When (x = 8,y = 6), the ratio (\frac{y}{x}=\frac{6}{8}=0.75) When (x = 12,y = 9), the ratio (\frac{y}{x}=\frac{9}{12}=0.75) Since the ratio (\frac{y}{x}) is constant ((k=0.75)), it is a proportional relationship.

Answer:

Both tables show a proportional relationship.