At the bowling alley, Terry paid $22.50 and bowled 3 games while Tommy bowled 2 games and paid $15. Interpret the rate of change by identifying the cost of each game.

To interpret the rate of change and identify the cost of each game, we can use the given information about the total amount paid and the number of games bowled by both Terry and Tommy.

Let's start by finding the cost per game for Terry.

Terry paid $22.50 for 3 games. To find the cost per game, we divide the total amount paid by the number of games:
Cost per game for Terry = Total amount paid by Terry / Number of games bowled by Terry
= $22.50 / 3
= $7.50

So, the cost of each game for Terry is $7.50.

Now let's calculate the cost per game for Tommy.

Tommy paid $15 for 2 games. To find the cost per game, we divide the total amount paid by the number of games:
Cost per game for Tommy = Total amount paid by Tommy / Number of games bowled by Tommy
= $15 / 2
= $7.50

So, the cost of each game for Tommy is also $7.50.

Therefore, the rate of change or the cost of each game at the bowling alley is $7.50.