Example: Solving a Vacation Trip Budget Application with a Linear Inequality
To determine the amount of work required to fund a vacation trip within a budget, apply the seven-step inequality problem-solving strategy. For example, consider Malik, who plans a vacation costing $ for airfare, $ for food and sightseeing, and $ per night for a -night hotel stay. He has $ in savings and earns $ per hour tutoring.
- Read the problem.
- Identify what to find: the number of hours Malik must tutor.
- Name the unknown: Let = the number of hours.
- Translate into an inequality. The total expenses must be less than or equal to his available funds (savings plus tutoring income):
- Solve the inequality by simplifying and isolating the variable: Which translates to:
- Check: Substituting hours gives . Added to his $ savings, he has $. The expenses exactly equal $, so the answer makes sense.
- Answer: Malik must tutor at least hours to have enough money to pay for the trip.
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Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax
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Related
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Standardized Strategy for Inequality Applications
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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