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 point)

Let's define the linear equations based on the given costs for each bowling alley.

1. For Bowl-O-Rama: The cost \( C \) to bowl at Bowl-O-Rama is given by: \[ C = 5g + 4 \] where \( g \) is the number of games played.

2. For Bowling Pinz: The cost \( C \) to bowl at Bowling Pinz is given by: \[ C = 4g + 8 \]

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

• Equation to represent the cost at Bowl-O-Rama: \(\ C = 5g + 4 \)
• Equation to represent the cost at Bowling Pinz: \(\ C = 4g + 8 \)

If you need to find where these costs are equal (i.e., when the costs are the same for a given number of games), you can set the equations equal to each other and solve for \( g \): \[ 5g + 4 = 4g + 8 \]

Subtract \( 4g \) from both sides: \[ 5g - 4g + 4 = 8 \]

This simplifies to: \[ g + 4 = 8 \]

Now, subtract 4 from both sides: \[ g = 4 \]

So, the costs are equal when 4 games are bowled. To find the cost at this number of games, substitute \( g = 4 \) into either equation:

• Using Bowl-O-Rama's equation: \[ C = 5(4) + 4 = 20 + 4 = 24 \]
• Using Bowling Pinz's equation: \[ C = 4(4) + 8 = 16 + 8 = 24 \]

Both equations give the same cost of \( C = 24 \) when \( g = 4 \).

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