select the tables that show a proportional relationship between x and y.\nsubmit

Explanation:

Step1: Calculate the ratio for the first table

For the first table: When (x = 5,y=3), the ratio (\frac{y}{x}=\frac{3}{5}=0.6) When (x = 10,y = 6), the ratio (\frac{y}{x}=\frac{6}{10}=0.6) When (x=15,y = 9), the ratio (\frac{y}{x}=\frac{9}{15}=0.6)

Step2: Calculate the ratio for the second table

For the second table: When (x = 5,y = 4), the ratio (\frac{y}{x}=\frac{4}{5}=0.8) When (x=10,y = 8), the ratio (\frac{y}{x}=\frac{8}{10}=0.8) When (x = 15,y=12), the ratio (\frac{y}{x}=\frac{12}{15}=0.8)

Since in both tables, the ratio (\frac{y}{x}) is constant for all pairs of (x) and (y) values, both tables show a proportional relationship.

Answer:

Both tables show a proportional relationship.