Question
The student council decided that for every ticket purchased, the buyer receives a certain number of entries for the raffle drawing. The table below shows this.
Tickets purchased:
1
2
3
4
Entries:
3
4
5
6
Which statements shows the relationship between the two quantities?
A. The number of tickets purchased in one-third the number of entries in the raffle drawing.
B. The number of entries in the raffle drawing is 2 more than the number of tickets purchased.
C. The number of entries in the raffle drawing is double the number of tickets purchased.
D. The number of tickets purchased is 2 more than the number of entries in the raffle drawing.
Tickets purchased:
1
2
3
4
Entries:
3
4
5
6
Which statements shows the relationship between the two quantities?
A. The number of tickets purchased in one-third the number of entries in the raffle drawing.
B. The number of entries in the raffle drawing is 2 more than the number of tickets purchased.
C. The number of entries in the raffle drawing is double the number of tickets purchased.
D. The number of tickets purchased is 2 more than the number of entries in the raffle drawing.
Answers
GPT-4o mini
To determine the correct relationship between the number of tickets purchased and the number of entries in the raffle drawing based on the given table, let's analyze the information provided:
- For 1 ticket purchased, there are 3 entries.
- For 2 tickets purchased, there are 4 entries.
- For 3 tickets purchased, there are 5 entries.
- For 4 tickets purchased, there are 6 entries.
Now, let's examine each option provided:
A. The number of tickets purchased is one-third the number of entries in the raffle drawing.
- This is incorrect. For example, if 1 ticket is purchased, there are 3 entries (1 is not one-third of 3). Therefore, this option does not hold true.
B. The number of entries in the raffle drawing is 2 more than the number of tickets purchased.
- Let's check this:
- For 1 ticket: 3 entries (3 = 1 + 2)
- For 2 tickets: 4 entries (4 = 2 + 2)
- For 3 tickets: 5 entries (5 = 3 + 2)
- For 4 tickets: 6 entries (6 = 4 + 2)
- This statement is true.
C. The number of entries in the raffle drawing is double the number of tickets purchased.
- This is incorrect. For example:
- For 1 ticket: 3 entries (not double, as double of 1 is 2).
- For 2 tickets: 4 entries (not double, as double of 2 is 4, which matches but is not consistent throughout).
- The relationship does not hold for all cases.
D. The number of tickets purchased is 2 more than the number of entries in the raffle drawing.
- This is incorrect. For example:
- For 1 ticket: 3 entries (1 is not 2 more than 3).
- Thus, this option does not hold true.
The correct answer is **B. The number of entries in the raffle drawing is 2 more than the number of tickets purchased.**
- For 1 ticket purchased, there are 3 entries.
- For 2 tickets purchased, there are 4 entries.
- For 3 tickets purchased, there are 5 entries.
- For 4 tickets purchased, there are 6 entries.
Now, let's examine each option provided:
A. The number of tickets purchased is one-third the number of entries in the raffle drawing.
- This is incorrect. For example, if 1 ticket is purchased, there are 3 entries (1 is not one-third of 3). Therefore, this option does not hold true.
B. The number of entries in the raffle drawing is 2 more than the number of tickets purchased.
- Let's check this:
- For 1 ticket: 3 entries (3 = 1 + 2)
- For 2 tickets: 4 entries (4 = 2 + 2)
- For 3 tickets: 5 entries (5 = 3 + 2)
- For 4 tickets: 6 entries (6 = 4 + 2)
- This statement is true.
C. The number of entries in the raffle drawing is double the number of tickets purchased.
- This is incorrect. For example:
- For 1 ticket: 3 entries (not double, as double of 1 is 2).
- For 2 tickets: 4 entries (not double, as double of 2 is 4, which matches but is not consistent throughout).
- The relationship does not hold for all cases.
D. The number of tickets purchased is 2 more than the number of entries in the raffle drawing.
- This is incorrect. For example:
- For 1 ticket: 3 entries (1 is not 2 more than 3).
- Thus, this option does not hold true.
The correct answer is **B. The number of entries in the raffle drawing is 2 more than the number of tickets purchased.**