The cost, C, to bowl at Bowl-O-Rama is $5 per game, g, plus $4 for shoe rental. The cost, C, to bowl at Bowling Pinz is $4 per game, g, plus $8 for shoe rental. Write the pair of linear equations that model this situation.(1 point)

Equation to represent the cost at Bowl-O-Rama: C=


Equation to represent the cost at Bowling Pinz: C=

1 answer

To represent the costs at both bowling alleys with linear equations, we can break down the costs as follows:

  1. 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: \[ C = 5g + 4 \]

  1. 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: \( C = 4g + 8 \)