Antonio just signed up for new phone plan and is comparing his fees to that of his friend Marcus. T hey create equations so that they could compare their fees with each other. Antonio's plan: Monthly cost = 3(.75m+10)+2.50m-15 where m is the number of minutes used Marcus's Plan: Monthly cost = 2(1.75m+12.50)-.75m+4 where m is the number of minutes used %3D (a) By setting their monthly cost equal, decide after how many minutes the two plans will cost the same. (b) Antonio compares his plan to another friend, Brielle's. Given that both Antonio and Brielle will only be charged for full minutes, is there an amount of time when their two plans cost the same? Explain. Brielle's plan: Monthly cost = 2(1.50m+12)+m-4 where m is the number of minutes used %3D

Antonio just signed up for new phone plan and is comparing his fees to that of his friend Marcus. T hey create equations so that they could compare their fees with each other. Antonio's plan: Monthly cost = 3(.75m+10)+2.50m-15 where m is the number of minutes used Marcus's Plan: Monthly cost = 2(1.75m+12.50)-.75m+4 where m is the number of minutes used %3D (a) By setting their monthly cost equal, decide after how many minutes the two plans will cost the same. (b) Antonio compares his plan to another friend, Brielle's. Given that both Antonio and Brielle will only be charged for full minutes, is there an amount of time when their two plans cost the same? Explain. Brielle's plan: Monthly cost = 2(1.50m+12)+m-4 where m is the number of minutes used %3D

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

eults can
APPLICATIONS
Antonio just signed up for new phone plan and is comparing his fees to that of his friend Marcus. They both
create equations so that they could compare their fees with each other.
Antonio's plan: Monthly cost = 3(.75m+10)+2.50m-15 where m is the number of minutes used
Marcus's Plan: Monthly cost = 2(1.75m+12.50) -.75m + 4 where m is the number of minutes used
(a) By setting their monthly cost equal, decide after how many minutes the two plans will cost the same.
(b) Antonio compares his plan to another friend, Brielle's. Given that both Antonio and Brielle will only be
charged for full minutes, is there an amount of time when their two plans cost the same? Explain.
Brielle's plan: Monthly cost = 2(1.50m+12)+m-4 where m is the number of minutes used
REASONING
5. Without solving the following equations decide whether there will be one solution, no solutions or
infinitely many solutions and explain why you think so.
3x-2= 3x - 2
2x-4 2x-7
3x-5=6x-5
29

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