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 42.75 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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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
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In the seven-step strategy, what is the goal of the Name step?
List the seven inequality-application steps in order and identify the Translate output
Learn After
You are a department head planning a team-building lunch with a budget of $500. The cost for each employee is $42.75. To find the maximum number of employees, , who can attend without exceeding the budget, you use the inequality and find that . Based on the strategy for budget limits, what is the maximum number of employees you can invite?
Arrange the steps in the correct order for determining the maximum number of attendees for a corporate event with a fixed budget of $500 and a cost of ${}42.75 per person.
In the budget inequality used for event planning, match each algebraic component with the real-world value or constraint it represents.
True or False: When solving a budget limit inequality for the number of people () attending an event, if the calculation results in , you should round the final answer up to 12 because 11.69 is mathematically closer to 12 than to 11.
Interpreting Decimal Results in Event Budgeting
When solving a budget limit inequality to plan a company training event, such as , the algebraic solution might result in a decimal like . Because the number of attendees must be a whole person and the total cost cannot exceed the strict budget limit, you must always round this decimal ____ to determine the maximum number of people allowed to attend.
Algebraic Budgeting Strategy for Corporate Events