The soccer club had a party in a private room at a restaurant. The restaurant charged $25 for the private room, and $9 per person. The cost (C) for p people to attend the party is modeled by the equation below.

C = $25 + $9p

How much did it cost if 18 people attended the party?

To find out the total cost $ C $ for 18 people attending the party, we can substitute $ p = 18 $ into the equation:

\[
C = 25 + 9p
\]

Substitute $ p = 18 $:

\[
C = 25 + 9(18)
\]

Now, calculate $ 9 \times 18 $:

\[
C = 25 + 162
\]

Add the two amounts:

\[
C = 187
\]

Thus, the total cost for 18 people attending the party is **$187**.

Would you like any further details or have any questions?

Here are some related questions you can explore:
1. How much would it cost if 25 people attended the party?
2. What is the cost for 50 people attending the party?
3. If the total cost was $334, how many people attended the party?
4. What is the cost for 10 people attending the party?
5. How does the cost change if the price per person increases to $12?

**Tip:** When dealing with real-world word problems, carefully identify the variables and constants to correctly substitute values into the equation.

The soccer club had a party in a private room at a restaurant. The restaurant charged $25 for the private room, and $9 per person. The cost (C) for p people to attend the party is modeled by the equation below. C = $25 + $9p How much did it cost if 18 people attended the party?

Learn how to calculate the total cost of a party using the linear equation C = 25 + 9p. This example solves the problem for 18 people attending, covering key algebra concepts and suitable for students in Grades 6-8.

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