Fiveable

💯Math for Non-Math Majors Unit 13 Review

QR code for Math for Non-Math Majors practice questions

13.2 Math and the Environment

13.2 Math and the Environment

Written by the Fiveable Content Team • Last updated August 2025
Written by the Fiveable Content Team • Last updated August 2025
💯Math for Non-Math Majors
Unit & Topic Study Guides

Energy consumption and costs impact our daily lives and the environment. Understanding kilowatt-hours helps us track electricity usage and estimate costs. This knowledge empowers us to make informed decisions about our energy consumption and its financial implications.

Water conservation methods, like low-flow showerheads and efficient toilets, can significantly reduce water usage. These simple changes not only save money but also contribute to sustainability efforts. Solar energy offers a renewable alternative to fossil fuels, reducing greenhouse gas emissions and promoting energy independence.

Energy Consumption and Costs

Energy consumption in kilowatt-hours

  • Kilowatt-hour (kWh) represents a unit of energy equivalent to 1,000 watt-hours
  • Calculated by multiplying the power in kilowatts by the number of hours of use (a 100-watt light bulb operating for 10 hours consumes 1 kWh)
  • Commonly used to measure electrical energy consumption in households and businesses (monthly electricity bill)
  • Allows for easy comparison of energy usage across different devices and appliances (refrigerator vs. air conditioner)
  • Helps in estimating the cost of running electrical devices over a specific period (month or year)
  • Useful for calculating an individual's or organization's carbon footprint

Water savings from conservation methods

  • Low-flow showerheads reduce water usage by restricting water flow to 2.0 gallons per minute (gpm) or less compared to standard showerheads at 2.5 gpm or more
    • Saves up to 20% of water consumption during showers (2,000 gallons per year for a family of four)
  • Water-efficient toilets use 1.6 gallons per flush (gpf) or less, while standard toilets consume 3.5 gpf or more
    • Saves approximately 13,000 gallons of water per year for a family of four
  • Fixing leaky faucets and pipes prevents water waste (a faucet dripping at 1 drop per second wastes over 3,000 gallons per year)
  • Implementing water-saving practices (turning off faucets while brushing teeth or shaving) reduces water consumption
  • Contributes to overall resource management and sustainability efforts
Energy consumption in kilowatt-hours, How home energy monitors work - Explain that Stuff

History and advantages of solar energy

  • Photovoltaic effect discovered by Alexandre Edmond Becquerel in 1839, laying the foundation for solar cell technology
  • First solar cell created by Charles Fritts in 1883 using selenium wafers, demonstrating the potential for harnessing solar energy
  • Practical silicon solar cell developed by Bell Labs in 1954, marking a significant milestone in solar energy technology
  • Continued advancements led to improved solar cell efficiency and the development of thin-film solar cells (more flexible and cost-effective)
  • Concentrating solar power (CSP) systems use mirrors to focus sunlight and generate heat for electricity production (large-scale solar power plants)
  • Solar energy offers a renewable and sustainable alternative to fossil fuels (reduces greenhouse gas emissions)
  • Decreases long-term energy costs for households and businesses (lower electricity bills)
  • Promotes energy independence by reducing reliance on imported fossil fuels (domestic energy production)
  • Plays a crucial role in mitigating climate change by reducing reliance on fossil fuels

Water Conservation

Energy consumption in kilowatt-hours, Annual household appliance electricity consumption | Flickr

Solar Energy Technology

Environmental Impact and Sustainability

  • Environmental impact assessments help evaluate the potential effects of projects or policies on the environment
  • Ecological footprint measures human demand on nature, comparing consumption of natural resources to Earth's ecological capacity
  • Renewable energy sources, such as solar and wind power, offer alternatives to fossil fuels and help reduce environmental impact
  • Effective resource management is crucial for maintaining environmental balance and ensuring long-term sustainability
Pep mascot
Upgrade your Fiveable account to print any study guide

Download study guides as beautiful PDFs See example

Print or share PDFs with your students

Always prints our latest, updated content

Mark up and annotate as you study

Click below to go to billing portal → update your plan → choose Yearly → and select "Fiveable Share Plan". Only pay the difference

Plan is open to all students, teachers, parents, etc
Pep mascot
Upgrade your Fiveable account to export vocabulary

Download study guides as beautiful PDFs See example

Print or share PDFs with your students

Always prints our latest, updated content

Mark up and annotate as you study

Plan is open to all students, teachers, parents, etc
report an error
description

screenshots help us find and fix the issue faster (optional)

add screenshot

2,589 studying →