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. 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? 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? 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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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section: Chapter Questions

Problem 12T

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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.

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.
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?
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?
If Jason wants to play exactly twelve games, what combinations of Fortnite and League of Legends could he play in the six hours available?

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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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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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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