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**.
Water Usage Rate
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.