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

select the tables that show a proportional relationship between x and y.\nwork it out\nnot feeling ready yet? these can help:\nfind the constant of proportionality from a table\nlesson: proportional relationships

select the tables that show a proportional relationship between x and y.\nwork it out\nnot feeling ready yet? these can help:\nfind the constant of proportionality from a table\nlesson: proportional relationships

Answer

Explanation:

Step1: Calculate the ratio for the first table

For the first table:

  • When (x = 2), (y=6), the ratio (\frac{y}{x}=\frac{6}{2} = 3)
  • When (x = 4), (y = 9), the ratio (\frac{y}{x}=\frac{9}{4}=2.25)
  • When (x = 10), (y = 18), the ratio (\frac{y}{x}=\frac{18}{10}=1.8) Since the ratios are not equal, this table does not show a proportional relationship.

Step2: Calculate the ratio for the second table

For the second table:

  • When (x = 3), (y = 6), the ratio (\frac{y}{x}=\frac{6}{3}=2)
  • When (x = 4), (y = 8), the ratio (\frac{y}{x}=\frac{8}{4}=2)
  • When (x = 7), (y = 14), the ratio (\frac{y}{x}=\frac{14}{7}=2) Since the ratio (\frac{y}{x}=2) (constant) for all values of (x) and (y) in the second table, it shows a proportional relationship.

Answer:

Only the second table (with (x = 3,y = 6); (x = 4,y = 8); (x=7,y = 14)) shows a proportional relationship.