Example: Translating and Solving a Budget Limit Inequality for an Event
To find the maximum number of attendees for an event within a set budget, apply the algebraic inequality strategy. For example, if an event budget is $500 and the cost per person is $42.75, let be the number of people. Translating this yields the inequality . Solving for by dividing both sides by gives . Because the number of people must be a whole number, round down to 11. Thus, a maximum of 11 people can be accommodated.
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Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax
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Purpose of the Check Step
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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 Utility Bill Problem 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