SOLUTION: A soccer league offers 2 options for membership plans. Option A includes an initial fee of $40 and costs $5 for each game played. Option B costs $10 for each game played. After how

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Question 1153094: A soccer league offers 2 options for membership plans. Option A includes an initial fee of $40 and costs $5 for each game played. Option B costs $10 for each game played. After how many games will the total costs of the 2 options be the same.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
option A costs 40 + 5x
option B costs 10x
x represents the number of games played.
the cost for each plan will be the same when 40 + 5x = 10x
subtract 5x from both sides of this equation to get:
40 = 5x
solve for x to get:
x = 40/5 = 8
the costs for each plan will be the same when the number of games played is 8.
plan A would cost 40 + 5 * 8 = 40 + 40 = 80
plan B would cost 10 * 8 = 80.