Write the linear equation that represents each situation.

Question

The high school gym is capable of seating 1,500 people. for each game, the amount of money that the school brings in as revenue is function of the number of people, n, in attendance. each ticket costs $15. C is the total revenue earned with N people attended a game.

Answer 1

To formulate the linear equation representing the situation described, we need to define the variables and relationships clearly.

Let:

• \( n \) be the number of people in attendance at a game.
• \( C \) be the total revenue earned from ticket sales.

Given:

• The ticket price is $15.
• The gym can seat a maximum of 1,500 people.

The revenue \( C \) generated from selling \( n \) tickets (where each ticket costs $15) can be expressed as:

\[ C = 15n \]

This equation represents the total revenue as a function of the number of attendees \( n \). Since the maximum capacity is 1,500 people, \( n \) can take any value from 0 to 1,500.

Thus, the complete linear equation for the total revenue based on the number of attendees is:

\[ C = 15n \quad \text{(where } 0 \leq n \leq 1500\text{)} \]