We can use a system of equations to solve for the cost of each game:
Let x be the cost per game for Terry, and let y be the cost per game for Tommy.
From the problem, we know that:
3x = 22.50 (Terry paid $22.50 for 3 games)
2y = 15 (Tommy paid $15 for 2 games)
Simplifying these equations, we get:
x = 7.50 (dividing both sides of the first equation by 3)
y = 7.50 (dividing both sides of the second equation by 2)
Therefore, the cost of each game is $7.50 for both Terry and Tommy.
The rate of change can be interpreted as the cost per game. In this case, the rate of change is $7.50 per game for both Terry and Tommy.