Subjects algebra

Water Usage Rate

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1. **State the problem:** We need to find the unit rate of water usage in cubic feet per minute based on the graph showing water used over time. 2. **Identify the given data:** From the graph, water usage increases linearly from (0,0) to (10,300). This means at 0 minutes, 0 cubic feet are used, and at 10 minutes, 300 cubic feet are used. 3. **Formula for unit rate:** The unit rate is the constant of proportionality, which can be found by the slope of the line: $$\text{Unit rate} = \frac{\text{Change in water used}}{\text{Change in time}} = \frac{y_2 - y_1}{x_2 - x_1}$$ 4. **Calculate the unit rate:** Using points (0,0) and (10,300): $$\frac{300 - 0}{10 - 0} = \frac{300}{10} = 30$$ 5. **Interpretation:** The unit rate is 30 cubic feet per minute, meaning the water park uses 30 cubic feet of water every minute. 6. **Check the given answer:** The user mentioned 50 cubic feet per minute, but based on the graph data, the correct unit rate is 30 cubic feet per minute. **Final answer:** The unit rate of water usage is **30 cubic feet per minute**.