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PRACTICE The table shows the amount of water in a pool as it is being drained. Graph the data. Is this an...

7. PRACTICE The table shows the amount of water in a pool as it is being drained. Graph the data. Is this an example of data that follow a linear pattern? Explain how you know.
Time elapsed (min) | Water in pool (thousands of gallons)
0 | 20
10 | 18.5
20 | 17
40 | 14
8. PRACTICE Identify the dependent and independent variables in the context of draining the pool.

Answer

  1. To determine if the data follows a linear pattern, plot the points (0, 20), (10, 18.5), (20, 17), and (40, 14) on the graph. A linear pattern would mean that these points lie on a straight line. The differences in water levels over equal time intervals are consistent, indicating a linear pattern. The decrease in water is approximately consistent, suggesting a linear relationship.

  2. The independent variable is the 'Time elapsed (min)', and the dependent variable is the 'Water in pool (thousands of gallons)'. The amount of water depends on the time elapsed.

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