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 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 - Entries
1 - 3
2 - 4
3 - 5
4 - 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, let's analyze the data in the 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, we can check each option:
A. The number of tickets purchased is one-third the number of entries in the raffle drawing.
- For 1 ticket (3 entries), 1/3 of 3 is 1 (incorrect).
- For 2 tickets (4 entries), 2/4 is 1/2 (incorrect).
- For 3 tickets (5 entries), 3/5 is less than 1 (incorrect).
- For 4 tickets (6 entries), 4/6 is less than 1 (incorrect).
- **This statement is false.**
B. The number of entries in the raffle drawing is 2 more than the number of tickets purchased.
- For 1 ticket (3 entries), 3 is not 2 more than 1 (incorrect).
- For 2 tickets (4 entries), 4 is not 2 more than 2 (incorrect).
- For 3 tickets (5 entries), 5 is not 2 more than 3 (incorrect).
- For 4 tickets (6 entries), 6 is not 2 more than 4 (incorrect).
- **This statement is false.**
C. The number of entries in the raffle drawing is double the number of tickets purchased.
- For 1 ticket (3 entries), double of 1 is 2 (incorrect).
- For 2 tickets (4 entries), double of 2 is 4 (correct).
- For 3 tickets (5 entries), double of 3 is 6 (incorrect).
- For 4 tickets (6 entries), double of 4 is 8 (incorrect).
- **This statement is false.**
D. The number of tickets purchased is 2 more than the number of entries in the raffle drawing.
- For 1 ticket (3 entries), 1 is not 2 more than 3 (incorrect).
- For 2 tickets (4 entries), 2 is not 2 more than 4 (incorrect).
- For 3 tickets (5 entries), 3 is not 2 more than 5 (incorrect).
- For 4 tickets (6 entries), 4 is not 2 more than 6 (incorrect).
- **This statement is false.**
Upon reviewing the statements with the data closely, none of the statements accurately describe the relationship between the number of tickets purchased and the number of entries in the raffle drawing.
The correct relationship can be derived from the table, which shows that for each ticket purchased after the first, the number of entries increases by 1 but starts at 3 entries for just 1 ticket.
Overall, the best interpretation of the data not captured by the choices is:
Starting at 3 entries for the first ticket, thereafter, each additional ticket purchased adds one entry to the total.
Therefore, technically speaking, none of the statements provided are correct.
- 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, we can check each option:
A. The number of tickets purchased is one-third the number of entries in the raffle drawing.
- For 1 ticket (3 entries), 1/3 of 3 is 1 (incorrect).
- For 2 tickets (4 entries), 2/4 is 1/2 (incorrect).
- For 3 tickets (5 entries), 3/5 is less than 1 (incorrect).
- For 4 tickets (6 entries), 4/6 is less than 1 (incorrect).
- **This statement is false.**
B. The number of entries in the raffle drawing is 2 more than the number of tickets purchased.
- For 1 ticket (3 entries), 3 is not 2 more than 1 (incorrect).
- For 2 tickets (4 entries), 4 is not 2 more than 2 (incorrect).
- For 3 tickets (5 entries), 5 is not 2 more than 3 (incorrect).
- For 4 tickets (6 entries), 6 is not 2 more than 4 (incorrect).
- **This statement is false.**
C. The number of entries in the raffle drawing is double the number of tickets purchased.
- For 1 ticket (3 entries), double of 1 is 2 (incorrect).
- For 2 tickets (4 entries), double of 2 is 4 (correct).
- For 3 tickets (5 entries), double of 3 is 6 (incorrect).
- For 4 tickets (6 entries), double of 4 is 8 (incorrect).
- **This statement is false.**
D. The number of tickets purchased is 2 more than the number of entries in the raffle drawing.
- For 1 ticket (3 entries), 1 is not 2 more than 3 (incorrect).
- For 2 tickets (4 entries), 2 is not 2 more than 4 (incorrect).
- For 3 tickets (5 entries), 3 is not 2 more than 5 (incorrect).
- For 4 tickets (6 entries), 4 is not 2 more than 6 (incorrect).
- **This statement is false.**
Upon reviewing the statements with the data closely, none of the statements accurately describe the relationship between the number of tickets purchased and the number of entries in the raffle drawing.
The correct relationship can be derived from the table, which shows that for each ticket purchased after the first, the number of entries increases by 1 but starts at 3 entries for just 1 ticket.
Overall, the best interpretation of the data not captured by the choices is:
Starting at 3 entries for the first ticket, thereafter, each additional ticket purchased adds one entry to the total.
Therefore, technically speaking, none of the statements provided are correct.