During Kelly’s freshman year of college, she decides that she can work at most 20 hours in a week. She needs to earn at least $92 a week to cover her expenses. Her tutoring job pays $7.50 per hour and her job as a car wash attendant pays $6 per hour.

1. What are Kelly’s two main concerns? How do those concerns translate into variables in a system of inequalities?

2. Write a system of linear inequalities to model the situation.

3. Graph the system on your own paper

4. Write three possible solutions for the system. Interpret the solutions in terms of the context.

5. What does the point (7, 4) mean? Is it a solution to this system?