Two cell phone companies have different rate plans. Runfast has monthly charges $25 plus $10 per gig of data. B A &D’s monthly charge is $18 plus 15 per gig of data. Your task is to determine under what circumstances each company has the better pricing. You will derive and solve a set of equations, graph those equations, and evaluate the meanings for these events. Don’t worry; I have a series of questions to guide you through the process. Good luck!
1. Determine the equation for the monthly charges for Runfast and B A&D.
Runfast= 25+10x
BA&D= 18+15x
2. Use your mathematical skill to solve this system of equations using the substitution method. (Show your work here.)
(25+10x)-(18+15x)
3. Graph the results on the accompanying graph as a visual aid. Don’t forget to label which line is for which company.
4. Why don’t the lines start at the origin? Because it starts off with a flat rate
5. What is special about each of the y-intercepts?________________________________________
6. Which company has the better deal for customers that don’t us much data? How do you know? ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
7. At what point are the plans the same amount? How do you know? ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
8. Which company has the better deal for customers that use a lot of data? How do you know?
1 answer
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