At a bowling alley. terry paid 22.50 and bowled 3 gameswhile tommy bowled 2 games and pard $15. interpret the rate of change by indentifying the cost of each game.

To determine the cost of each game, we can set up a system of equations.

Let x be the cost of each game.

For Terry:
3 games at x per game = $22.50
3x = $22.50

For Tommy:
2 games at x per game = $15
2x = $15

Now we can solve for x by dividing both sides of the equations by 3 and 2, respectively:

3x = $22.50
x = $22.50 / 3
x = $7.50

2x = $15
x = $15 / 2
x = $7.50

Therefore, the cost of each game at the bowling alley is $7.50. Terry paid $22.50 for 3 games, and Tommy paid $15 for 2 games, which confirms that the cost per game is $7.50.