The cost of the first carnival can be given by the following expression:
Where c1 is the total cost and x is the number of games played. The cost for the second one is:
Where c2 is the total cost and x is the number of games played. To find the minimum number of games that we need to play on the second carnival for it to be lower than the first, we need to solve the following inequality:
[tex]\begin{gathered} c_2For the cost on the second carnival to be lower than the first we need to play at most 3 games.