To represent the amount of money Michelle has left after attending \( x \) games, we can start by calculating how much she spends on tickets for each game.
If she spends 15% of her total money on tickets for each game, we can express that as:
\[ \text{Amount spent per game} = 0.15 \times 800 = 120 \]
So, for each game, she spends $120.
If she attends \( x \) games, the total amount spent after attending \( x \) games would be:
\[ \text{Total amount spent} = 120x \]
Now, to find the amount of money she has left after attending \( x \) games, we subtract the total amount spent from her original amount of money ($800):
\[ \text{Amount left} = 800 - 120x \]
So the equation that represents the amount of money Michelle has left after attending \( x \) games is:
\[ A = 800 - 120x \]
where \( A \) is the amount of money she has left.