Exploring systems of linear equations

with Geometer's Sketchpad:

The Problem

Based on a problem developed by Denise Elliot and Angela Dewar

 
The Cell Phone

Your parents and you have talked it over and decided that you can purchase a cellular phone and they will pay half.  You have only a part time job and do not make a lot of money, so you would like to look at the different options for buying a phone, preferably the cheapest.  You phone around to the different companies and this is what you find out:
 

Company Name Monthly Base Fee  Charge per minute/ day rates
Invisible Mesh none $0.30 
Atlantic Phones $40/ month $0.15 
Cell Rules $25/month $0.25 

A) Write an equation to represent each company.

B) Find the cost of each of the plans for the following number of minutes, used in one month:

i) 50 minutes
ii) 100 minutes
iii) 125 minutes
iv) 150 minutes
v) 200 minutes
vi)  300 minutes
Represent this information in a table. 

C) Graph the equations that you made.  Is there a point where all three of the plans have the same cost per minute?

D) Which plan do you think would be the most cost-effective and save you money? Explain your answer.

E) Imagine you worked for Cell Rules and your boss wanted to increase the number of subscribers who use their phones for about 300 minutes a month.  Can the company lower its monthly base fee to make it the most economical for those users?

F) Imagine you worked for Cell Rules and your boss wanted to increase the number of subscribers who use their phones for about 300 minutes a month.  Can the company lower its charge per minute to make it the most economical for those users?

 

Back to Opening page

[Copyright -- David A Reid] [Acadia University]