Question

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


Equation to represent the cost at Bowling Pinz: C=

solve C= and C= its not 4 and 8 so stop saying that idiot

Answer 1

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 \( g = 4 \).

If you need further clarification or another part of the response, feel free to ask!