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Let's break down the problem step by step.

### Given Information:
- Solar power generated: 1.6 kW for 3.0 hours.
- Power usage during the same period: 2.2 kWh.

### Step 1: Calculate Solar Energy Produced
The energy produced by the solar panels is given by the formula:
\[
\text{Energy} = \text{Power} \times \text{Time}
\]
Using the values provided:
\[
\text{Energy produced} = 1.6 \, \text{kW} \times 3.0 \, \text{h} = 4.8 \, \text{kWh}
\]

### Step 2: Compare with Power Used
The total energy used during the period is 2.2 kWh. Since more energy is produced (4.8 kWh) than used (2.2 kWh), the meter will run backward.

### Step 3: Calculate the Change in Meter Reading
The change in the meter reading will be the difference between the energy produced and the energy used:
\[
\text{Change in meter reading} = \text{Energy produced} - \text{Energy used}
\]
\[
\text{Change in meter reading} = 4.8 \, \text{kWh} - 2.2 \, \text{kWh} = 2.6 \, \text{kWh}
\]

### Final Answer:
The change in the meter reading will be **2.6 kWh** (rounded to the nearest tenth).

Would you like more details or further explanations?

### Follow-up Questions:
1. What happens if the energy produced is less than the energy used?
2. How is net metering beneficial for homeowners with solar power systems?
3. What is the formula for calculating power if energy and time are known?
4. How can power companies handle energy surpluses from solar systems?
5. How does energy efficiency affect the total power usage in a home?

### Tip:
For solar power systems, it's essential to regularly monitor the energy produced and consumed to ensure optimal savings.

Some solar energy systems are used to supplement the utility power company power supplied to a home such that the meter runs backward if the solar energy being generated is greater than the energy being used. With such a system, if the solar power averages 1.6 kW for a 3.0-h period and only 2.2 kW·h is used during this period, what will be the change in the meter reading for this period?

This problem calculates the change in a home's meter reading when solar energy is generated. The solar power averages 1.6 kW for a 3.0-hour period, and the energy used is 2.2 kWh. Learn how to calculate the energy produced using the power-time formula and find the change in meter reading.

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