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 ${}42.75p \leq 500$ 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 ($p$) attending an event, if the calculation results in $p \leq 11.69$, 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 ${}42.75p \leq 500$, the algebraic solution might result in a decimal like $p \leq 11.69$. 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