Edwin and Percy each bought a number of video games. Edwin's purchases can be modeled with the equation C = 25.25g, where g represents the number of games bought, and C represents the cost in dollars. Percy's purchases are shown in the table below.

Question

Percy
Number of Games Total Cost ($)
2 53.00
3 79.50
4 106.00

Select the options that correctly complete the sentence.

found a better deal because his games cost

Answer 1

To determine who found the better deal, we need to find the cost per game for both Edwin and Percy.

Edwin's Cost per Game: Given the equation \( C = 25.25g \):

• Cost per game for Edwin = 25.25 dollars per game.

Percy's Cost per Game: Now, let's calculate the cost per game for Percy using the provided table:

1. For 2 games at $53.00: \[ \text{Cost per game} = \frac{53.00}{2} = 26.50 \text{ dollars per game} \]

2. For 3 games at $79.50: \[ \text{Cost per game} = \frac{79.50}{3} = 26.50 \text{ dollars per game} \]

3. For 4 games at $106.00: \[ \text{Cost per game} = \frac{106.00}{4} = 26.50 \text{ dollars per game} \]

Comparison:

• Edwin: 25.25 dollars per game
• Percy: 26.50 dollars per game

Since 25.25 dollars per game (Edwin's cost) is less than 26.50 dollars per game (Percy's cost), we can conclude:

Edwin found a better deal because his games cost less per game.