To model the situation with a linear function, we need to define our variables and create an equation that represents the relationship between them.
Let's define:
- Let \( x \) be the number of times Giselle uses the club.
- Let \( y \) be the balance remaining in her account after using the club.
Initially, Giselle pays $240 in advance. Each time she uses the club, $5 is deducted from her account. Therefore, the balance in her account after \( x \) uses can be described with the following linear function:
\[ y = 240 - 5x \]
In this equation:
- \( 240 \) is the initial amount Giselle has in her account.
- \( 5x \) represents the total amount deducted from the account after \( x \) uses of the club.
This linear function indicates that her account balance \( y \) decreases by $5 for every additional use of the club, starting from an initial balance of $240.