## Real World Applications – Algebra I

### Topic

How do you know which cell phone plan is the cheapest?

### Student Exploration

The student will investigate, compare and determine which cell phone plan is the least expensive over time.

The Task:

- Search for two different cell phone companies (i.e. AT&T, Verizon, Sprint, T-Mobile, Boost, Metro PCS).
- The most organized way to list the cost of each cell phone plan is to make a table. Make a table for each cell phone company. The input
(x) values should be the # of months you have the phone, and the output(y) values should be the total cost. “Month 0” should be the initial cost of purchasing the cell phone itself. - Create a graph for each table of points. What are realistic values of
x andy on this graph? Why? - Create an equation for each cell phone plan represented in slope-intercept form.
- In each equation, what is the slope? What does this represent in the cell phone plan? What is the
y− intercept in each equation? What does this represent in the cell phone plan? Justify your thinking. - Which cell phone plan is the cheapest, and for how long?
- When are both cell phone plans the same cost? Use the Substitution Method to solve this system of linear equations you created. What do “
x ” and “y ” each represent in this solution?