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To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratio of Hours to Money remains constant.
Let's calculate the ratio for each pair of values:
For Hours 1 and Money 9:
Ratio = Money / Hours = 9 / 1 = 9
For Hours 2 and Money 18:
Ratio = Money / Hours = 18 / 2 = 9
For Hours 3 and Money 27:
Ratio = Money / Hours = 27 / 3 = 9
For Hours 4 and Money 36:
Ratio = Money / Hours = 36 / 4 = 9
As we can see, the ratio of Money to Hours is 9 for all values. This means that the ratio remains constant throughout the table, indicating a proportional relationship.