Example: Solving a Monthly Phone Bill Application with a Linear Inequality
To determine the maximum number of text messages allowed to keep a monthly phone bill under a specific limit, translate the scenario into a linear inequality and solve. For example, if a phone plan costs $28.80 a month plus $0.20 per text message, and the bill must be no more than $50, let be the number of text messages. The translated inequality is . Subtracting 28.80 from both sides gives . Dividing by 0.20 yields . Therefore, a maximum of 106 text messages can be sent or received to keep the bill at or below $50.
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Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax
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Standardized Strategy for Inequality Applications
Professional Development Budgeting
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Example: Translating and Solving a Budget Limit Inequality for Purchasing Items
Example: Translating and Solving a Budget Limit Inequality for an Event
Example: Solving a Monthly Phone Bill Application with a Linear Inequality
Example: Solving a Vacation Rental Application with a Linear Inequality
Example: Solving a Vacation Trip Budget Application with a Linear Inequality
Example: Solving a Destination Wedding Budget Application with a Linear Inequality
Example: Solving a Road Trip Budget Application with a Linear Inequality
Strategy for Solving Applications with Compound Inequalities
Example: Solving a Utility Bill Application with a Linear Inequality
Learn After
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When managing a corporate budget where a company phone plan costs a fixed base rate of 28.80 dollars plus 0.20 dollars per text message, the linear inequality used to ensure the total monthly bill remains at or below a 50 dollars limit is .
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Budgeting and Linear Inequality Constraints