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 Entries 1 3 2 4 3 5 4 6 Which statement shows the relationship between the two quantities? (1 point) Responses The number of tickets purchased is one-third the number of entries in the raffle drawing. The number of tickets purchased is one-third the number of entries in the raffle drawing. The number of entries in the raffle drawing is 2 more than the number of tickets purchased. The number of entries in the raffle drawing is 2 more than the number of tickets purchased. The number of tickets purchased is 2 more than the number of entries in the raffle drawing. The number of tickets purchased is 2 more than the number of entries in the raffle drawing. The number of entries in the raffle drawing is double the number of tickets purchased.
Answers
GPT-4o mini
To analyze the given table:
- 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 evaluate the statements:
1. **The number of tickets purchased is one-third the number of entries in the raffle drawing.**
- This is incorrect. For example, when 1 ticket is purchased (3 entries), 1 is not one-third of 3.
2. **The number of entries in the raffle drawing is 2 more than the number of tickets purchased.**
- This is correct. For instance:
- 1 ticket → 3 entries (3 = 1 + 2)
- 2 tickets → 4 entries (4 = 2 + 2)
- 3 tickets → 5 entries (5 = 3 + 2)
- 4 tickets → 6 entries (6 = 4 + 2)
3. **The number of tickets purchased is 2 more than the number of entries in the raffle drawing.**
- This is incorrect. This is the opposite of what is true. For instance, for 1 ticket, there are 3 entries, meaning the number of tickets is not more than the entries.
4. **The number of entries in the raffle drawing is double the number of tickets purchased.**
- This is incorrect. For example, 1 ticket gives 3 entries, which is not double (it would need to be 2 entries if it were double).
Overall, the correct response is: **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 evaluate the statements:
1. **The number of tickets purchased is one-third the number of entries in the raffle drawing.**
- This is incorrect. For example, when 1 ticket is purchased (3 entries), 1 is not one-third of 3.
2. **The number of entries in the raffle drawing is 2 more than the number of tickets purchased.**
- This is correct. For instance:
- 1 ticket → 3 entries (3 = 1 + 2)
- 2 tickets → 4 entries (4 = 2 + 2)
- 3 tickets → 5 entries (5 = 3 + 2)
- 4 tickets → 6 entries (6 = 4 + 2)
3. **The number of tickets purchased is 2 more than the number of entries in the raffle drawing.**
- This is incorrect. This is the opposite of what is true. For instance, for 1 ticket, there are 3 entries, meaning the number of tickets is not more than the entries.
4. **The number of entries in the raffle drawing is double the number of tickets purchased.**
- This is incorrect. For example, 1 ticket gives 3 entries, which is not double (it would need to be 2 entries if it were double).
Overall, the correct response is: **The number of entries in the raffle drawing is 2 more than the number of tickets purchased.**