A student, Josue, is using the following linear inequality to determine how many driveways ($d$) he must shovel to afford a 10-night road trip: ${}180 + 450 + 49(10) \leq 520 + 30d$. The trip includes expenses for gas, food, and lodging, while his funds come from savings and driveway earnings. Match each term from the inequality to the specific budget component it represents.

As a freelance consultant planning a professional development trip, you need to determine the minimum number of billable hours ($h$) required to cover your travel expenses. You have a set amount of initial savings ($S$) and charge a fixed hourly rate ($R$). If your total estimated travel costs are represented by $C$, which of the following inequalities correctly recalls the budget strategy used to ensure you have enough funds for the trip?

True or False: In the linear inequality ${}1{,}120 \leq 520 + 30d$ used to model the road trip budget, the variable $d$ represents the total dollar amount Josue earns from shoveling driveways.

Arrange the following steps in the correct order to model and solve Josue's road trip budget problem using a linear inequality.

Identifying Components of a Budget Inequality

As an independent contractor planning to attend a multi-day corporate training seminar, you are using a linear inequality to budget your trip. You know your fixed costs for travel and food, as well as your nightly hotel rate. According to the linear inequality problem-solving strategy, your total estimated trip cost must be less than or equal to your current savings plus your total ________ from completing additional work orders.

Recalling the Structure of a Budget Inequality