Practice: Modeling a Budget Application with a System of Linear Inequalities
Real-world budgeting limits and quantity conditions can be modeled using systems of linear inequalities. For example, Mary must purchase answer sheets and pencils for a test with a maximum budget of $. Pencils cost $ and answer sheets cost $. Additionally, the number of answer sheets needed is at least more than the number of pencils. By translating these conditionsâthe total cost inequality and the quantity comparison inequality, plus the requirement for positive variablesâinto a mathematical system, one can graph the constraints to find the solution region. This modeled system can then be evaluated to determine if specific purchases, such as pencils and answer sheets or of each, are feasible within the budget.
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Ch.4 Systems of Linear Equations - Intermediate Algebra @ OpenStax
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Learn After
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