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Water flows through a pipe at a rate of 84 quarts every 9.5 hours. Express this rate of flow in liters per week. Round your answer to the nearest whole number.

To express the rate of flow in liters per week, let's go through the steps step by step.

### Given:
- Water flow rate = 84 quarts per 9.5 hours
- 1 week = 7 days = \( 7 \times 24 = 168 \) hours
- Conversion: 1 quart = 0.946353 liters

### Steps:

1. **Flow rate in quarts per hour**:
   \[
   \frac{84 \text{ quarts}}{9.5 \text{ hours}} = 8.8421 \text{ quarts per hour}
   \]

2. **Flow rate in quarts per week**:
   \[
   8.8421 \text{ quarts/hour} \times 168 \text{ hours/week} = 1485.4728 \text{ quarts per week}
   \]

3. **Convert quarts to liters**:
   \[
   1485.4728 \text{ quarts} \times 0.946353 \text{ liters/quart} = 1405.48 \text{ liters per week}
   \]

4. **Round to the nearest whole number**:
   \[
   1405.48 \approx 1405 \text{ liters per week}
   \]

### Final Answer:
The flow rate is approximately **1405 liters per week**.

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Would you like more details or have any questions about the process?

Here are 5 related questions:
1. How would the answer change if the flow rate were in gallons instead of quarts?
2. What if the rate were measured in liters per hour instead?
3. How can we express this rate in liters per day instead of per week?
4. How does the rate change if the flow doubles over the same period?
5. What would the answer be if the conversion from quarts to liters changed slightly?

**Tip**: When working with units, always ensure you convert everything to the desired unit before performing any calculations!

Water flows through a pipe at a rate of 84 quarts every 9.5 hours. Express this rate of flow in liters per week. Round your answer to the nearest whole number.

Learn how to convert the flow rate of 84 quarts every 9.5 hours to liters per week using unit conversion. This step-by-step guide shows the necessary calculations, including quarts-to-liters conversion and weekly rate calculations. Suitable for students in Grades 9-10.

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