This examination was developed according to the New Standards Type Grading Conference Model by the PUMP Algebra Working Group for the PUMP Algebra Project.
You are told that tomorrow you are to order cellular phone service for all the officers in your company. Your boss tells you that she will be providing you with the necessary information about the amount of "airtime" (number of minutes of phone time) per month that each officer will need. She also informs you that she will have this information for you about an hour before you must present your report and decision to the President of the company. Furthermore, she makes it very clear that your future with the company will depend on how well you perform this duty.
Knowing that you will need at least an hour to just put your report together, you contact the local cellular phone company. They give you the following information about their three available services.
To prepare for tomorrow you must do a mathematical analysis of these three different plans. This analysis should include defining variables, writing equations, making tables, constructing graphs, finding slopes and intercepts, and finding points of intersection. Your boss suggests that you look at these plans over a range of airtime from 0 to 500 minutes per month, and how much airtime that you can get per month with each of these plans for a total cost of $100. She also makes it very clear that you must include the range of airtime for which each plan is the cheapest.
PRODUCE THIS ANALYSIS!
Any work you do today, will be collected at the end of the period and can be used tomorrow to produce your report.
One hour before the meeting where you will present your recommendation for cellular service, your boss provides the following data about the company's employees and their projected cellular phone airtime use.
Use this information and the analysis that you made yesterday to write a report recommending which of the three plans your company should use for their employees. You may recommend one plan or different plans for different employees, but you must support your recommendations with mathematical information from your analysis. Your boss has also directed you to include in your report reasons why you believe that the solution that you have recommended is the best for each group of employees and the company. (Your boss reminds you to make sure to include the range of airtime minutes per month when each of the plans would be cheapest!!)
PRODUCE THIS REPORT!