High School

A home uses ten 100-watt lightbulbs for 5 hours per day. How many kilowatt-hours of electricity are consumed in one year by using the lightbulbs?

Note: The calculation provided appears to be incorrect or unrelated to the question. Please focus on calculating the kilowatt-hours consumed by the lightbulbs over one year.

Answer :

Let's find out how many kilowatt-hours of electricity are consumed in one year by using ten 100-watt lightbulbs for 5 hours each day.

1. Calculate the Total Wattage for All Lightbulbs:
- Each lightbulb uses 100 watts.
- If there are 10 lightbulbs, you multiply the wattage of one bulb by the number of bulbs:
[tex]\[
100 \, \text{watts/bulb} \times 10 \, \text{bulbs} = 1000 \, \text{watts}
\][/tex]

2. Determine the Watt-Hours Used per Day:
- The lightbulbs are used for 5 hours each day.
- To find the total watt-hours used per day, multiply the total wattage by the number of hours they are used:
[tex]\[
1000 \, \text{watts} \times 5 \, \text{hours} = 5000 \, \text{watt-hours/day}
\][/tex]

3. Convert Watt-Hours to Kilowatt-Hours:
- Since 1 kilowatt-hour (kWh) is equal to 1000 watt-hours, we convert the daily usage to kilowatt-hours:
[tex]\[
\frac{5000 \, \text{watt-hours}}{1000} = 5 \, \text{kWh/day}
\][/tex]

4. Calculate the Annual Kilowatt-Hours:
- To find the total consumption in a year, multiply the daily kilowatt-hour usage by the number of days in a year (365 days):
[tex]\[
5 \, \text{kWh/day} \times 365 \, \text{days/year} = 1825 \, \text{kWh/year}
\][/tex]

Therefore, using these ten 100-watt lightbulbs for 5 hours per day consumes 1825 kilowatt-hours of electricity in one year.