Tech Math: System Of Equations

 

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  • Relevant Material: "Systems of equations have numerous real-life applications, including personal finance for budgeting and loans, optimizing business operations like pricing and resource allocation, solving problems in science and engineering, and calculating travel time and distance. They are also used in nutrition to balance diets, in geometry to find unknown dimensions, and in various fields like economics and chemistry. 
    Business and Finance 
    • Budgeting: Calculate how much is left after expenses, or balance income and savings goals.
      • Cost and Demand: Determine optimal pricing for a product by creating equations that link price, demand, and other variables.Profit and Loss: Use systems to calculate profit, expenses, and revenue over time.
     
    • Chemistry: Solve "mixture problems" by mixing two or more different substances (like solutions with specific concentrations of salt or vinegar) to achieve a final mixture with desired properties.
    • Physics: Calculate values like force, pressure, speed, and distance based on related equations.
    • Nutrition: Balance a diet by creating equations based on the amounts of different nutrients (like protein, carbohydrates, and fats) in different foods. 
     
    • Finding dimensions: Determine the length and width of a rectangle when you know its perimeter and the relationship between the sides (e.g., one side is 24 ft longer than the other). 
     
    • Calculating travel time: Estimate how long a trip will take by using the relationship between distance, speed, and time (
      Time=Distance÷Speedcap T i m e equals cap D i s t a n c e divided by cap S p e e d
      ).
    • Taxi fares: Calculate the total fare based on a base rate plus a cost per mile, using two variables: the base fare and the rate per mile. 
     
    • Solving billing problems: Figure out the per-minute cost for phone calls to different countries based on your bill.
    • Resource allocation: Optimize how to best allocate resources, such as in operations and logistics. .." (Google) 





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