Question

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!

Determine the equation for the monthly charges for Runfast and BA&D.

Runfast= $35 per month

BA&D= $33 per month

Answer 1

Given:
Runfast = 25 + 10g
BA&D = 18 + 15g

Runfast = 35 per month
35 = 25 + 10g
35 - 25 = 10g
10 = 10g
10/10 = g
1 = g

BA&D = 33 per month
33 = 18 + 15g
33 - 18 = 15g
15 = 15g
15/15 = g
1 = g

If g = 2;
Runfast = 25 + 10(2) = 25 + 20 = 45
BA&D = 18 + 15(2) = 18 + 30 = 48

Based on my computation, if the gig of data is only equivalent to 1g then BA&D is cheaper. However, if 2gig or above is used, then Runfast is cheaper.