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 answer

To model the cost of bowling at both Bowl-O-Rama and Bowling Pinz, we can define the variables and create equations based on the given information.

Let \( C \) represent the total cost of bowling, and let \( g \) represent the number of games bowled.

For Bowl-O-Rama:

  • The cost for bowling is $5 per game.
  • There is an additional fee of $4 for shoe rental.

So the equation for Bowl-O-Rama can be written as: \[ C = 5g + 4 \]

For Bowling Pinz:

  • The cost for bowling is $4 per game.
  • There is an additional fee of $8 for shoe rental.

So the equation for Bowling Pinz can be written as: \[ C = 4g + 8 \]

Summary of the Linear Equations:

  1. For Bowl-O-Rama: \[ C = 5g + 4 \]

  2. For Bowling Pinz: \[ C = 4g + 8 \]

These two equations model the cost of bowling at the two different places based on the number of games played.