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.

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

1 answer

The cost at Bowl-O-Rama can be represented by the following linear equation:

\[ C = 5g + 4 \]

Where:

  • \( C \) is the total cost.
  • \( g \) is the number of games bowled.
  • $5 is the cost per game, and $4 is the flat rate for shoe rental.

For Bowling Pinz, the cost can be represented by a similar linear equation:

\[ C = 4g + 8 \]

Where:

  • \( C \) is the total cost.
  • \( g \) is the number of games bowled.
  • $4 is the cost per game, and $8 is the flat rate for shoe rental.

So, the pair of linear equations that model this situation are:

  1. For Bowl-O-Rama: \( C = 5g + 4 \)
  2. For Bowling Pinz: \( C = 4g + 8 \)