To determine the correct equation that represents the scenario of Aunt Andrea creating a table to find the amount of balloons needed for Rachel's party, we need to consider the context of the problem.
If we assume that "x" represents the number of tables (or some unit related to decorations), and "y" represents the number of balloons needed, we might infer that the needed number of balloons is proportional to the number of tables. This could imply that for each table, a specific number of balloons is required.
Looking at the responses:
- y = 3x could imply that for each unit (perhaps table), 3 balloons are needed.
- y = x + 5 implies that there is a base number of 5 balloons plus an additional number that depends on x.
- y = x + 15 implies a similar structure but with a base of 15 balloons.
- y = 5x similarly suggests a proportional relationship, where 5 balloons are needed per unit.
Without additional context, the equations that suggest a proportional relationship (which is often how quantities like decorations and party supplies are calculated) would be y = 3x or y = 5x.
If we assume that the number is determined by a fixed rate of balloons per item, y = 5x would suggest that for every unit counted (e.g., table, guest, etc.), 5 balloons are needed.
Thus, if 5 balloons are needed per each unit, the equation y = 5x would be a suitable representation of the scenario Aunt Andrea is calculating.