Question

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

work it out
not feeling ready yet? these can help:
find the constant of proportionality from a table
lesson: proportional relationships

Explanation:

Step1: Calculate the ratio $\frac{y}{x}$ for each table.

For the first table:

• When $x = 6,y = 4,\frac{y}{x}=\frac{4}{6}=\frac{2}{3}$
• When $x = 9,y = 6,\frac{y}{x}=\frac{6}{9}=\frac{2}{3}$
• When $x = 15,y = 10,\frac{y}{x}=\frac{10}{15}=\frac{2}{3}$

For the second table:

• When $x = 5,y = 3,\frac{y}{x}=\frac{3}{5}$
• When $x = 10,y = 6,\frac{y}{x}=\frac{6}{10}=\frac{3}{5}$
• When $x = 15,y = 9,\frac{y}{x}=\frac{9}{15}=\frac{3}{5}$

Answer:

Both tables show a proportional relationship between $x$ and $y$.