the cost, C, to bowl at Bowling-Pinz is $4 per game, g, plus $8 for shoe rental.

the cost, C, to 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.

1 answer

Let's set up the cost equations for both Bowling-Pinz and Bowl-O-Rama based on the given information.

For Bowling-Pinz:

  • Cost per game: $4
  • Shoe rental: $8

The total cost, \(C\), to bowl at Bowling-Pinz can be expressed as: \[ C_{\text{Bowling-Pinz}} = 4g + 8 \]

For Bowl-O-Rama:

  • Cost per game: $5
  • Shoe rental: $4

The total cost, \(C\), to bowl at Bowl-O-Rama can be expressed as: \[ C_{\text{Bowl-O-Rama}} = 5g + 4 \]

Summary of the Cost Equations:

  • Bowling-Pinz: \( C = 4g + 8 \)
  • Bowl-O-Rama: \( C = 5g + 4 \)

To Compare Costs:

To determine when one bowling option becomes cheaper than the other, you can set the two cost equations equal to each other:

\[ 4g + 8 = 5g + 4 \]

Solving the Equation:

  1. Subtract \(4g\) from both sides: \[ 8 = g + 4 \]

  2. Subtract 4 from both sides: \[ 4 = g \]

Conclusion:

  • At 4 games played, the cost of bowling at both places will be the same.
  • For \(g < 4\), Bowl-O-Rama is cheaper.
  • For \(g > 4\), Bowling-Pinz becomes the cheaper option.

If you need further assistance or any additional calculations, feel free to ask!