1. **Problem:** Complete the ratio tables for Water Tank and Swimming Pool, then analyze the ratios.
2. **Water Tank Table:** Given time (min) and liters leaked:
- At 2 min: 4 liters
- At 4 min: ?
- At 6 min: ?
- At 8 min: ?
3. **Swimming Pool Table:** Given time (min) and liters leaked:
- At 3 min: 2 liters
- At 6 min: ?
- At 9 min: ?
- At 12 min: ?
4. **Formula:** The ratio of liters leaked to time is constant if the leak rate is constant. Use the unit rate formula:
$$\text{Rate} = \frac{\text{Liters leaked}}{\text{Time (min)}}$$
5. **Water Tank Calculations:**
- Rate at 2 min: $\frac{4}{2} = 2$ liters/min
- At 4 min: $2 \times 4 = 8$ liters
- At 6 min: $2 \times 6 = 12$ liters
- At 8 min: $2 \times 8 = 16$ liters
6. **Swimming Pool Calculations:**
- Rate at 3 min: $\frac{2}{3} \approx 0.6667$ liters/min
- At 6 min: $0.6667 \times 6 = 4$ liters
- At 9 min: $0.6667 \times 9 = 6$ liters
- At 12 min: $0.6667 \times 12 = 8$ liters
7. **Completed Tables:**
Water Tank:
| Time (min) | Liters leaked |
|------------|---------------|
| 2 | 4 |
| 4 | 8 |
| 6 | 12 |
| 8 | 16 |
Swimming Pool:
| Time (min) | Liters leaked |
|------------|---------------|
| 3 | 2 |
| 6 | 4 |
| 9 | 6 |
| 12 | 8 |
8. **Graphing:** Plot ordered pairs (time, liters leaked) for both tables. Water Tank points: (2,4), (4,8), (6,12), (8,16). Swimming Pool points: (3,2), (6,4), (9,6), (12,8).
9. **Conclusion:** Water Tank leaks at 2 liters/min, Swimming Pool leaks at approximately 0.6667 liters/min. Water Tank leaks faster.
Ratio Tables Cde533
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