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 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 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 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.
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 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 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 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 determine the correct relationship between the number of tickets purchased and the number of entries in the raffle drawing, we can 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.
From this analysis, we can see that:
- When 1 ticket is purchased (3 entries): 3 is 2 more than 1.
- When 2 tickets are purchased (4 entries): 4 is 2 more than 2.
- When 3 tickets are purchased (5 entries): 5 is 2 more than 3.
- When 4 tickets are purchased (6 entries): 6 is 2 more than 4.
We notice that the number of entries is always 2 more than the number of tickets purchased.
So the correct statement that shows the relationship between the two quantities 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.
From this analysis, we can see that:
- When 1 ticket is purchased (3 entries): 3 is 2 more than 1.
- When 2 tickets are purchased (4 entries): 4 is 2 more than 2.
- When 3 tickets are purchased (5 entries): 5 is 2 more than 3.
- When 4 tickets are purchased (6 entries): 6 is 2 more than 4.
We notice that the number of entries is always 2 more than the number of tickets purchased.
So the correct statement that shows the relationship between the two quantities is:
**The number of entries in the raffle drawing is 2 more than the number of tickets purchased.**