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,...
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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? 
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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? 

 

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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?

 

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