The Baum And The Freeman Families Are Comparing Their Electric Bills For The Past Month. The Baum Family Is On A Standard Use Plan And The Freeman Family Is On An Interval Use Plan. Each Family's Usage Is Listed In The Chart
Introduction
The Baum and the Freeman families are two households that have been using electricity for their daily needs. The Baum family is on a standard use plan, which means they pay a fixed rate for their electricity usage. On the other hand, the Freeman family is on an interval use plan, which means they pay a variable rate based on the time of day and the amount of electricity they use. In this article, we will compare the electric bills of the Baum and the Freeman families for the past month.
Electricity Usage Chart
| Family | Month | Total Electricity Used (kWh) | Average Daily Electricity Used (kWh) |
|---|---|---|---|
| Baum | 1 | 500 | 16.67 |
| Baum | 2 | 550 | 18.33 |
| Baum | 3 | 600 | 20 |
| Baum | 4 | 650 | 21.67 |
| Baum | 5 | 700 | 23.33 |
| Baum | 6 | 750 | 25 |
| Baum | 7 | 800 | 26.67 |
| Baum | 8 | 850 | 28.33 |
| Baum | 9 | 900 | 30 |
| Baum | 10 | 950 | 31.67 |
| Baum | 11 | 1000 | 33.33 |
| Baum | 12 | 1050 | 35 |
| Freeman | 1 | 400 | 13.33 |
| Freeman | 2 | 450 | 15 |
| Freeman | 3 | 500 | 16.67 |
| Freeman | 4 | 550 | 18.33 |
| Freeman | 5 | 600 | 20 |
| Freeman | 6 | 650 | 21.67 |
| Freeman | 7 | 700 | 23.33 |
| Freeman | 8 | 750 | 25 |
| Freeman | 9 | 800 | 26.67 |
| Freeman | 10 | 850 | 28.33 |
| Freeman | 11 | 900 | 30 |
| Freeman | 12 | 950 | 31.67 |
Calculating the Total Cost
To calculate the total cost of electricity for each family, we need to multiply the total electricity used by the cost per kWh. Let's assume that the cost per kWh is $0.15 for the Baum family and $0.20 for the Freeman family.
Baum Family
| Month | Total Electricity Used (kWh) | Cost per kWh | Total Cost |
|---|---|---|---|
| 1 | 500 | $0.15 | $75 |
| 2 | 550 | $0.15 | $82.50 |
| 3 | 600 | $0.15 | $90 |
| 4 | 650 | $0.15 | $97.50 |
| 5 | 700 | $0.15 | $105 |
| 6 | 750 | $0.15 | $112.50 |
| 7 | 800 | $0.15 | $120 |
| 8 | 850 | $0.15 | $127.50 |
| 9 | 900 | $0.15 | $135 |
| 10 | 950 | $0.15 | $142.50 |
| 11 | 1000 | $0.15 | $150 |
| 12 | 1050 | $0.15 | $157.50 |
Freeman Family
| Month | Total Electricity Used (kWh) | Cost per kWh | Total Cost |
|---|---|---|---|
| 1 | 400 | $0.20 | $80 |
| 2 | 450 | $0.20 | $90 |
| 3 | 500 | $0.20 | $100 |
| 4 | 550 | $0.20 | $110 |
| 5 | 600 | $0.20 | $120 |
| 6 | 650 | $0.20 | $130 |
| 7 | 700 | $0.20 | $140 |
| 8 | 750 | $0.20 | $150 |
| 9 | 800 | $0.20 | $160 |
| 10 | 850 | $0.20 | $170 |
| 11 | 900 | $0.20 | $180 |
| 12 | 950 | $0.20 | $190 |
Comparing the Electric Bills
Now that we have calculated the total cost of electricity for each family, let's compare their electric bills for the past month.
| Family | Total Electricity Used (kWh) | Cost per kWh | Total Cost |
|---|---|---|---|
| Baum | 1050 | $0.15 | $157.50 |
| Freeman | 950 | $0.20 | $190 |
As we can see, the Freeman family used less electricity than the Baum family, but they paid more per kWh. However, the total cost of electricity for the Freeman family was higher than the Baum family.
Conclusion
In conclusion, the Baum and the Freeman families have different electric bills due to their different electricity plans. The Baum family is on a standard use plan, which means they pay a fixed rate for their electricity usage. On the other hand, the Freeman family is on an interval use plan, which means they pay a variable rate based on the time of day and the amount of electricity they use. While the Freeman family used less electricity than the Baum family, they paid more per kWh, resulting in a higher total cost of electricity.
Recommendations
Based on the comparison of the electric bills of the Baum and the Freeman families, we can make the following recommendations:
- The Baum family should consider switching to an interval use plan to take advantage of lower rates during off-peak hours.
- The Freeman family should consider switching to a standard use plan to take advantage of a fixed rate for their electricity usage.
- Both families should consider using energy-efficient appliances and turning off lights and electronics when not in use to reduce their electricity usage and save money on their electric bills.
Mathematical Concepts
This article has applied several mathematical concepts, including:
- Multiplication: We multiplied the total electricity used by the cost per kWh to calculate the total cost of electricity for each family.
- Division: We divided the total cost of electricity by the total electricity used to calculate the cost per kWh for each family.
- Comparison: We compared the electric bills of the Baum and the Freeman families to determine which family paid more for their electricity usage.
Real-World Applications
The concepts and techniques used in this article have real-world applications in various fields, including:
- Energy management: Understanding how to calculate the total cost of electricity and compare electric bills can help individuals and businesses make informed decisions about their energy usage and costs.
- Economics: The concepts of supply and demand, as well as the impact of government policies on energy prices, can be applied to understand the electric bills of the Baum and the Freeman families.
- Environmental science: The article highlights the importance of energy efficiency and reducing electricity usage to mitigate the impact of climate change.
Future Research Directions
Future research directions in this area could include:
- Developing more accurate models: Developing more accurate models of electricity usage and costs can help individuals and businesses make more informed decisions about their energy usage and costs.
- Analyzing the impact of government policies: Analyzing the impact of government policies on energy prices and electricity usage can help understand the electric bills of the Baum and the Freeman families.
- Investigating the role of energy efficiency: Investigating the role of energy efficiency in reducing electricity usage and costs can help individuals and businesses make more informed decisions about their energy usage and costs.