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 a better deal on video games, we need to analyze the cost per game for both Edwin and Percy.

Edwin's Costs: Edwin's cost is given by the equation \( C = 25.25g \). To find the cost per game, we can divide the total cost by the number of games: \[ \text{Cost per game for Edwin} = \frac{C}{g} = 25.25 \]

Percy's Costs: We can calculate the cost per game from Percy’s table.

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

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

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

Comparison:

• Edwin's cost per game: $25.25
• Percy's cost per game: $26.50

Since Edwin's games cost less than Percy's, we can complete the sentence.

Edwin found a better deal because his games cost $25.25 per game, while Percy’s games cost $26.50 per game.