Example: Solving a Destination Wedding Budget Application with a Linear Inequality
To calculate the amount of work needed to afford a trip for an event like a destination wedding, apply the linear inequality word problem strategy. For example, Brenda needs to pay for nights at a hotel at $60 per night, $350 for airfare, and $375 for food and entertainment. She has $500 in savings and earns $15 an hour babysitting. Let be the number of babysitting hours. Translating the requirement that expenses must be less than or equal to total available funds yields: . Solving for , first simplify the left side to get , which is . Subtracting from both sides yields . Dividing by gives , or . Brenda must babysit 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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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 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
In the budget application example for Brenda's destination wedding, a linear inequality is used to calculate the hours of work needed. Match each component of the inequality to its correct role in the budget scenario.
In the linear inequality , which was constructed to model Brenda's destination wedding budget, what does the constant value represent?
In the budget application example for Brenda's destination wedding, the 'less than or equal to' symbol () is used in the inequality to indicate that her total expenses must not exceed her total available funds.
In the budget scenario for Brenda's destination wedding, she needs to pay for nights at a hotel. If each night costs $$$60, the term in the inequality representing her total hotel expense is \60 \cdot$ ____.
In the example provided, Brenda follows a specific set of steps to calculate the hours she needs to babysit for her trip. Arrange these steps in the correct order as they were used to set up and solve the linear inequality.
Interpreting the Destination Wedding Budget Inequality Setup
Recalling the Structure and Constraint of a Budget Inequality Model