Answer:
He played 7 arcade games.
Step-by-step explanation:
The amount paid in relation to the number of games played can be modeled by a linear function in the following format:

In which F is the flat rate and g is the price of each game.
Flat fee of $30 but he had to pay $2 for each arcade game he played.
This means that 
So

Jason spent $44. How many arcade games did he play?
This is n for which A(n) = 44. So





He played 7 arcade games.