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 Bowl Pinz is $4 per game, g, plus $8 for shoe rental. Write the pair of linear equations that model this situation.

1 answer

To model the situation with linear equations for the costs of bowling at Bowl-O-Rama and Bowl Pinz, we can denote the total cost \( C \) and the number of games bowled \( g \).

  1. Bowl-O-Rama:

    • Cost per game: $5
    • Shoe rental: $4
    • The equation for Bowl-O-Rama can be written as: \[ C = 5g + 4 \]
  2. Bowl Pinz:

    • Cost per game: $4
    • Shoe rental: $8
    • The equation for Bowl Pinz can be written as: \[ C = 4g + 8 \]

In summary, the pair of linear equations that model this situation is: \[ \begin{align*} C & = 5g + 4 \quad \text{(Bowl-O-Rama)} \ C & = 4g + 8 \quad \text{(Bowl Pinz)} \end{align*} \]