Jason’s two favorite video games are Fortnite and League of Legends.  Every Fortnite game averages 20 minutes and each League of Legends game averages 35 minutes.  He is planning a marathon gaming session to celebrate the end of his semester.  For all parts of the problem, Jason wants to play at least 12 total games, but he only has at most six hours available.  Assume each game takes the average amount of time to play.   Write an inequality that represents the minimum number of games Jason wants to play.  Write an inequality that represents the number of games he can play in his time limit.  Graph these two inequalities on the same coordinate system.

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
100%

Jason’s two favorite video games are Fortnite and League of Legends.  Every Fortnite game averages 20 minutes and each League of Legends game averages 35 minutes.  He is planning a marathon gaming session to celebrate the end of his semester.  For all parts of the problem, Jason wants to play at least 12 total games, but he only has at most six hours available.  Assume each game takes the average amount of time to play.

 

  1. Write an inequality that represents the minimum number of games Jason wants to play. 
  2. Write an inequality that represents the number of games he can play in his time limit. 
  3. Graph these two inequalities on the same coordinate system
  4. If Jason wants to play as many total games as possible, what combination of games should he play? Is there more than one way to play this number of games? 
  5. If Jason wants to play the most number of League of Legends games as possible while still playing at least twelve total games in the six hours he has, how many games of League of Legends could he play? 
  6. If Jason wants to play exactly twelve games, what combinations of Fortnite and League of Legends could he play in the six hours available? 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

If Jason wants to play the most number of League of Legends games as possible while still playing at least twelve total games in the six hours he has, how many games of League of Legends could he play? 

 

Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question

If Jason wants to play as many total games as possible, what combination of games should he play? Is there more than one way to play this number of games?

 

Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Inequality
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Similar questions
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