Technical Math: Linear Equations

 

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Relevant Material: "Linear equations have many real-life applications, including budgeting, calculating costs (like phone plans or taxi fares), analyzing business profit, figuring out distance, speed, and time, and converting units like temperature. They are used to model situations where there is a constant rate of change, making them essential tools for making predictions and solving everyday problems. 
Finance and business 
  • Budgeting and savings: Creating a budget, calculating monthly savings, and tracking expenses often involve linear equations.
  • Business profit: You can use linear equations to model relationships between the price of an item and the total revenue or to calculate profit based on the number of units sold.
  • Calculating costs:
    • Mobile phone plans: A plan with a monthly fee plus a per-minute or per-text charge can be modeled with a linear equation.
    • Taxi fares: A fare that includes a flat fee plus a charge per mile is a classic linear equation example.
    • Gym memberships: Calculating the total cost of a gym membership with a monthly fee and a per-class charge. 
Science and everyday life 
  • Distance, speed, and time: Calculating the distance an object travels based on its speed and time is a direct application of linear equations.
  • Temperature conversion: The formula to convert between Celsius (
    Ccap C
    ) and Fahrenheit (
    Fcap F
    ) is a linear equation:
    F=1.8C+32cap F equals 1.8 cap C plus 32
    .
  • Geometry: Finding unknown angles or calculating the perimeter of a shape can be done using linear equations.
  • Force and pressure: These physics concepts can be modeled with linear relationships.
  • Cooking and chemistry: Linear equations are used to calculate dosages for drugs or to work out the correct strength of solutions. 
Problem-solving and decision-making 
  • Comparing options: You can use linear equations to compare different plans, like two phone plans with different monthly fees and per-minute rates, to see which is more cost-effective for your usage.
  • Making predictions: By establishing a relationship between variables, you can predict future outcomes, such as how many classes you can take within a certain budget. .." (Google) 
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