Tech Math: Linear System & Equations

 

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Relevant Material: "Linear equations and systems are used in real life to model and solve problems involving relationships with a constant rate, such as calculating travel costs, managing budgets, and balancing chemical reactions. They help with everything from predicting travel time at a constant speed to optimizing business profits and analyzing financial data. 
Finance and economics
  • Budgeting: Creating a budget or a savings plan by modeling income and expenses over time.
  • Pricing: Calculating costs that include a flat fee plus a variable rate, like taxi fares or utility bills.
  • Loans and interest: Determining simple interest earned on savings or the total cost of a loan.
  • Profit and loss: Analyzing and optimizing business profits by modeling costs, revenue, and demand. 
Science and engineering
  • Physics: Describing the relationship between distance, speed, and time, or analyzing forces and energy.
  • Chemistry: Balancing chemical equations to ensure that the number of atoms of each element is the same on both sides of the reaction.
  • Engineering: Designing circuits, analyzing structures, and processing signals. 
Everyday life
  • Travel: Calculating travel time or cost based on a constant speed or rate, such as mileage rates for a car.
  • Shopping: Figuring out discounts or comparing the total cost of different deals or packages.
  • Resource allocation: Dividing resources, such as in a recipe or a project plan, where quantities of ingredients or materials are needed.
  • Comparisons: Determining when two different options will have the same outcome, like figuring out when two savings plans will have the same amount of money, as explained in this YouTube video. 
Other applications
  • Data analysis: In statistics, linear regression uses linear equations to predict trends and analyze relationships in data.
  • Geometry: Solving problems related to shapes and their dimensions. ..." (Google) 
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