Question

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.

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.**