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