To determine when The Bowling Pin is the best deal for Tina, we need to compare the total cost at each bowling alley.
The total cost at The Bowling Pin is the shoe rental cost plus the cost per game. The total cost at The Alley Way is also the shoe rental cost plus the cost per game.
To compare these costs, we can set up the following inequality:
Total cost at The Bowling Pin < Total cost at The Alley Way
Substituting the cost values, we get:
(5 + 3.5x) < (3 + 4x)
This inequality can be simplified to:
5 + 3.5x < 3 + 4x
Therefore, the correct inequality is (B) 5 + 3.5x < 3 + 4x.
If Tina plans on playing x games of bowling, this inequality shows that The Bowling Pin is the best deal for Tina if the total cost at The Bowling Pin is less than the total cost at The Alley Way.