In the situation where the cost of playing pool increases with the amount of time using the table, the independent and dependent quantities can be identified as follows:
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Independent Quantity: The amount of time using the table (measured in hours or minutes). This is the quantity that you can control or change.
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Dependent Quantity: The cost of playing pool. This is the quantity that depends on the amount of time you spend using the table. As you increase the time, the cost increases accordingly.
So, time is the independent variable, and cost is the dependent variable.