Ally is organizing an end-of-the-year term party. The cost to rent a hall is $100. The cost of food per person is eight dollars right a relation for the total cost of the party in dollars n People

The total cost of the party includes two components: the cost to rent the hall and the cost for food per person. Let's break it down:

- The cost to rent the hall is a fixed amount: \$100.
- The cost of food per person is \$8. For **n** people, the total food cost is $ 8n $ dollars.

So, the total cost **C** of the party as a function of **n** (the number of people) is the sum of the hall rental and the food cost:

\[
C(n) = 100 + 8n
\]

This equation expresses the total cost **C** in dollars based on the number of people **n** attending the party.

Would you like further details on how to apply this formula or any other questions? Here are some related questions for further practice:

1. What would be the total cost if 50 people attend the party?
2. If the total budget for the party is \$500, how many people can attend?
3. How does the total cost change if the price per person for food increases to \$10?
4. What is the total cost if no one attends the party (i.e., **n** = 0)?
5. Can you derive an expression for the average cost per person based on this relation?

**Tip:** Always check whether a cost equation has fixed components (like the hall rental) and variable ones (like food per person) to ensure accurate calculations.

Ally is organizing an end-of-the-year term party. The cost to rent a hall is $100. The cost of food per person is eight dollars. Write a relation for the total cost of the party in dollars for n people.

Discover how to calculate the total cost of a party, including a fixed hall rental fee of $100 and $8 per person for food. Learn how to set up and solve the linear equation C(n) = 100 + 8n for various party sizes. This problem is perfect for students in Grades 6-8 learning about linear equations.

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