Sustainable Living

Worksheet Description

This worksheet is themed around “Sustainable Living” and includes a variety of unit rate word problems focusing on energy production and efficiency. Students will tackle problems related to calculating the daily energy output of a wind turbine, the monthly production of a solar installation, the efficiency of an electric car in kilometers per kilowatt-hour, and the annual energy generation of a hydroelectric dam. Other scenarios include calculating the production rate of biodiesel, geothermal energy generation, rooftop solar panel output, and a school’s solar installation efficiency, as well as the energy efficiency of a city’s wind farm and the range of an electric bike.

The worksheet teaches students how to calculate unit rates in the context of renewable energy and eco-friendly technology. By solving these problems, students practice dividing quantities by time or distance to find the rate at which energy is produced or consumed, or the distance traveled per unit of energy. The exercises aim to enhance students’ mathematical reasoning and their understanding of efficiency, particularly in the realm of sustainable practices. Additionally, this worksheet introduces students to the importance of energy conservation and the environmental impact of various technologies, promoting awareness of sustainability through math.

Example Problems

1. A wind turbine generates 2400 kilowatt-hours of electricity in 30 days. Calculate the unit rate of energy generation in kilowatt-hours per day.

2. A solar panel installation produces 500 megawatt hours of electricity in 10 months. Determine the unit rate of electricity production in megawatt-hours per month.

3. An electric car can travel 320 kilometers on a single charge. Calculate the unit rate of travel distance in kilometers per kilowatt-hour of electricity used.

4. A community’s hydroelectric dam generates 15,000 megawatt-hours of clean energy in a year. Determine the unit rate of energy generation in megawatt-hours per year.

5. A biofuel plant produces 2000 gallons of biofuel in 5 days. Calculate the unit rate of biofuel production in gallons per day.

6. A geothermal power plant generates 60 megawatt-hours of electricity in 24 hours. Determine the unit rate of energy generation in megawatt-hours per day.

7. A homeowner’s rooftop solar panels produce 800 kilowatt-hours of electricity in 20 days. Calculate the unit rate of electricity production in kilowatt-hours per day.