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The graph shows the relationship between time (in hours) and the volume of water (in gallons) in the swimming pool. To determine how much water was already in the pool when the hose was turned on today, we need to look at the volume at time \( t = 0 \), which represents the initial amount of water before additional filling.

From the graph, at \( t = 0 \), the volume of water is approximately **2,000 gallons**. This suggests that the Kelley family already had 2,000 gallons of water in the pool before they started filling it further today.

Would you like more details or have any questions? Here are five related questions:

1. How can we determine the rate at which water is being added to the pool from the graph?
2. If the hose continues to fill at the same rate, how long will it take to fill the pool completely to 10,000 gallons?
3. How do we interpret the slope of the line in this context?
4. If the filling was paused for 2 hours, how would that affect the graph?
5. How could we write an equation to model the volume of water in the pool over time?

**Tip:** The slope of a line in a graph of volume versus time represents the rate of change, which in this case is the rate at which water is being added to the pool per hour.

How much water was already in the pool when the hose was turned on today?

Learn how to determine the initial volume of water in a swimming pool by interpreting a linear graph. The problem involves reading the y-intercept to find out how much water was present before the filling started. Suitable for students in Grades 6-8.

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