The student council is planning the school carnival. Each ticket costs $2.50. Explain how to write an equation that represents this scenario. Let x represent the number of tickets sold, and y represent the total amount of money raised.

Answer 1

To write an equation that represents the relationship between the number of tickets sold and the total amount of money raised, you can start by identifying what each variable represents:

• Let \( x \) be the number of tickets sold.
• Let \( y \) be the total amount of money raised.

Since each ticket costs $2.50, the total amount of money raised \( y \) is directly related to the number of tickets sold \( x \). Specifically, for every ticket sold, the total amount of money raised increases by $2.50.

To express this relationship as an equation, you can multiply the number of tickets sold (\( x \)) by the price of each ticket ($2.50). The equation can therefore be represented as:

\[ y = 2.50x \]

In this equation:

• \( y \) is the total money raised.
• \( 2.50 \) is the cost per ticket.
• \( x \) is the number of tickets sold.

This equation allows you to calculate the total amount of money raised for any given number of tickets sold.