Let's examine the relationship between the tickets purchased and the number of entries in the raffle drawing using the data provided in the table:
| Tickets Purchased | Entries |
|----------------------|--------|
| 1 | 3 |
| 2 | 4 |
| 3 | 5 |
| 4 | 6 |
We need to determine which of the given statements correctly describes the relationship between the tickets purchased and entries.
### Option 1: The number of tickets purchased is 2 more than the number of entries in the raffle drawing.
Let's check this statement:
- For 1 ticket: [tex]\( 1 \neq 3 - 2 \)[/tex]
- For 2 tickets: [tex]\( 2 \neq 4 - 2 \)[/tex]
- For 3 tickets: [tex]\( 3 \neq 5 - 2 \)[/tex]
- For 4 tickets: [tex]\( 4 \neq 6 - 2 \)[/tex]
This statement is false.
### Option 2: The number of entries in the raffle drawing is double the number of tickets purchased.
Let's check this statement:
- For 1 ticket: [tex]\( 3 \neq 1 \times 2 \)[/tex]
- For 2 tickets: [tex]\( 4 \neq 2 \times 2 \)[/tex]
- For 3 tickets: [tex]\( 5 \neq 3 \times 2 \)[/tex]
- For 4 tickets: [tex]\( 6 \neq 4 \times 2 \)[/tex]
This statement is false.
### Option 3: The number of entries in the raffle drawing is 2 more than the number of tickets purchased.
Let's check this statement:
- For 1 ticket: [tex]\( 3 = 1 + 2 \)[/tex]
- For 2 tickets: [tex]\( 4 = 2 + 2 \)[/tex]
- For 3 tickets: [tex]\( 5 = 3 + 2 \)[/tex]
- For 4 tickets: [tex]\( 6 = 4 + 2 \)[/tex]
This statement is true.
### Option 4: The number of tickets purchased is one-third the number of entries in the raffle drawing.
Let's check this statement:
- For 1 ticket: [tex]\( 1 \neq 3 / 3 \)[/tex]
- For 2 tickets: [tex]\( 2 \neq 4 / 3 \)[/tex]
- For 3 tickets: [tex]\( 3 \neq 5 / 3 \)[/tex]
- For 4 tickets: [tex]\( 4 \neq 6 / 3 \)[/tex]
This statement is false.
### Conclusion:
Based on the analysis, the correct statement is:
The number of entries in the raffle drawing is 2 more than the number of tickets purchased.
Thus, the correct option is [tex]\(3\)[/tex].
