To determine if a table represents a proportional relationship, we need to check if there is a constant ratio between the two quantities in each row of the table.
Here are the steps you can follow to evaluate the tables:
-
Check the Ratios: For each pair of values (x, y) in the table, calculate the ratio y/x. If all the ratios are the same across the rows, the relationship is proportional.
-
Look for Zero Values: If one or more values of x is zero, and the corresponding values of y are also zero, then it may still indicate a proportional relationship.
-
Graph the Points: If feasible, you could also plot the points on a graph. If the points form a straight line through the origin (0,0), then it indicates a proportional relationship.
If you provide specific tables or sets of values, I can help you determine whether each one represents a proportional relationship.