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At the end of week 5 of my basketball teams season our record is 3 wins and 17 losses. Each week after that we win 3 games and lose 1 game. At the end of which week will my team have won at least 65% of its games total for the first time in the season 

Leaded  Nov 16, 2018
 #1
avatar+92785 
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You have played 20 games

Each additional week you will play 4 games

Let W  be the number of additional weeks it takes to win at least 65% of your games

 

So......we want to solve this

 

Total Wins  / Total Games  ≥ .65

 

[ 3 + 3W]

_________ ≥  .65            multiply both sides by 20 + 4W

[ 20 + 4W ]

 

3 + 3W ≥  .65 [ 20 + 4W]

 

3 + 3W ≥ 13 + 2.6W    subtract 3, 2.6W from each side

 

.4W ≥  10       divide both sides by .4

 

W ≥ 25  ⇒  you must play at least 25 + 5  =    30 weeks to win 65% of your games for the first time

 

 

 

cool cool cool

CPhill  Nov 16, 2018
edited by CPhill  Nov 16, 2018

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