Meeting costs. The Winds charges a 75 cleaning fee plus 45...

Meeting costs. The Winds charges a $\$ 75$ cleaning fee plus $\$ 45$ per hour for the use of its meeting room. Complete Consultants has budgeted $\$ 200$ to rent a room for a seminar. For how many hours can they rent the meeting room at The Winds?

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Key Concepts

Budget Constraints

A budget constraint represents the limit within which total expenses must fall. It is used in planning and decision-making by ensuring that the sum of fixed and variable costs does not exceed the available budget.

Solving Inequalities

When dealing with a budget limit, the relationship is often modeled as an inequality rather than an equation. Solving such inequalities involves determining the maximum allowable value for the variable (such as the number of hours) without breaching the specified budget.

Fixed and Variable Costs

This concept involves distinguishing between expenses that do not change regardless of usage (fixed costs) and those that vary directly with the extent of usage (variable costs). In many situations, such as renting a facility, there is an initial fee plus an additional cost based on how long the service is used.

Linear Equations

A linear equation is a mathematical expression that models relationships with constant rates of change. It typically takes the form of a fixed component plus a variable component multiplied by an unknown quantity. This structure helps in representing how total cost accumulates based on time or quantity.

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