A pet sitting business owner uses the inequality ${}32h - 2{,}272 \geq 800$ to plan their monthly workload, where $h$ is the number of hours worked. Arrange the steps to solve this inequality for $h$ in the correct order.

A freelance photographer uses the inequality ${}50h - 300 \ge 2,000$ to calculate the number of hours ($h$) they must work to meet a monthly profit goal. In this model, what does the term ${}50h$ represent?

A service business charges 45 per hour and has fixed monthly expenses of 1,500. To determine how many hours ($h$) they must work to reach a profit goal of at least 2,000, they use the inequality ${}45h - 1,500 \ge 2,000$. Match each component of this inequality with the business concept it represents.

First Step in Solving Profit Inequalities

When a small business owner sets up the initial inequality to determine the required work hours ($h$) to achieve a specific profit target, they must add their fixed monthly expenses to their total hourly revenue.

In a service business profit inequality like ${}32h - 2{,}272 \geq 800$, the value subtracted from the total hourly revenue (${}32h$) represents the business's ____.

Operating Hours & Profit Inequality Model for Service Businesses