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,...
icon
Related questions
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
Transcribed Image Text: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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education