To represent the costs at both bowling alleys with linear equations, we can break down the costs as follows:
- At Bowl-O-Rama, the cost \( C \) is made up of the cost per game and the shoe rental:
- The cost per game is \( 5g \) (where \( g \) is the number of games played).
- The shoe rental cost is a fixed cost of $4.
So, the equation representing the cost at Bowl-O-Rama is: \[ C = 5g + 4 \]
- At Bowling Pinz, the cost \( C \) is similarly composed of the cost per game and the shoe rental:
- The cost per game is \( 4g \).
- The shoe rental cost is a fixed cost of $8.
Thus, the equation representing the cost at Bowling Pinz is: \[ C = 4g + 8 \]
In summary, the pair of linear equations that model this situation is:
- Bowl-O-Rama: \( C = 5g + 4 \)
- Bowling Pinz: \( C = 4g + 8 \)