This activity applies a real life example of systems of equations. It proposes the question "Which restaurant would you eat at?". Students are given information about two different restaurants. They need to make predictions, write 2 linear equations, graph the linear equations, state the point of intersection (and explain what the intersection means), verify algebraically the point of intersection, and finally decide which restaurant they would eat at using all of the data from the activity.
This activity can be completed on graph paper, or used as a project. Students can decorate a sheet of construction paper with the answers to the activity, graph paper, and restaurant pictures.
Teachers can extend this project by having the students graph the linear equations in different ways (using a table, slope-intercept form, standard form (intercepts)).