Question
This table shows the price of footballs based on the quantity purchased at Store 1.
Store 1 Football Cost
Quantity ($) Cost
1 12
2 24
3 36
An illustration shows a graph labeled Football Cost. The horizontal axis is labeled Quantity and ranges from 0 to 5 in increments of 1. The vertical axis is labeled Cost and ranges from 0 to 39 in increments of 3. An upward slanting line segment connects points plotted at left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 9 right parenthesis, left parenthesis 2 comma 18 right parenthesis, left parenthesis 3 comma 27 right parenthesis, and left parenthesis 4 comma 36 right parenthesis.
Two stores have their footballs on sale. Which store has the better buy? What is the cost for a football at Store 1 and Store 2?
(1 point)
Responses
Store 2 has the better buy on footballs. Store 1’s football costs $24, and Store 2’s football costs $9.
Store 2 has the better buy on footballs. Store 1’s football costs $24, and Store 2’s football costs $9.
Store 1 has the better buy on footballs. Store 2’s football costs $9, and Store 1’s football costs $3.
Store 1 has the better buy on footballs. Store 2’s football costs $9, and Store 1’s football costs $3.
Store 1 has the better buy on footballs. Store 2’s football costs $12, and Store 1’s football costs $9.
Store 1 has the better buy on footballs. Store 2’s football costs $12, and Store 1’s football costs $9.
Store 2 has the better buy on footballs. Store 1’s football costs $12, and Store 2’s football costs $9.
Answers
GPT-4o mini
To determine which store offers a better price for footballs, we first need to analyze the data provided for Store 1.
From the information given:
- At Store 1:
- 1 football costs $12
- 2 footballs cost $24 (which is $12 each)
- 3 footballs cost $36 (which is $12 each)
Therefore, the cost per football at Store 1 is consistently $12.
Now, we need to compare this with the prices from Store 2. However, the information about Store 2 is incomplete or missing from the statement provided. Based on the options available, we see various mentions of a cost for Store 2's footballs, but we cannot verify their accuracy without the actual costs or any table.
Assuming we go with the costs mentioned in the options:
1. If Store 2's football costs $9, they have the better buy since $9 < $12.
2. If Store 2’s football costs $3, they also have the better buy since $3 < $12.
3. If Store 2's football costs $12, then they are equal; neither store would have the better buy.
Now, let's look at the available responses:
- "Store 2 has the better buy on footballs. Store 1’s football costs $24, and Store 2’s football costs $9." (Store 1's cost is actually $12)
- "Store 1 has the better buy on footballs. Store 2’s football costs $9, and Store 1’s football costs $3." (Both costs are incorrect)
- "Store 1 has the better buy on footballs. Store 2’s football costs $12, and Store 1’s football costs $9." (Again, this is incorrect)
- "Store 2 has the better buy on footballs. Store 1’s football costs $12, and Store 2’s football costs $9."
Based on the cost breakdown and only if Store 2's football actually costs $9, the last statement would be correct. Store 1's football costs $12 while Store 2's football costs $9, making Store 2's football the better buy.
**Conclusion:**
If Store 2's football costs $9, then Store 2 indeed has the better buy since it is less expensive than Store 1's football at $12. Therefore, the correct answer is:
*Store 2 has the better buy on footballs. Store 1’s football costs $12, and Store 2’s football costs $9.*
From the information given:
- At Store 1:
- 1 football costs $12
- 2 footballs cost $24 (which is $12 each)
- 3 footballs cost $36 (which is $12 each)
Therefore, the cost per football at Store 1 is consistently $12.
Now, we need to compare this with the prices from Store 2. However, the information about Store 2 is incomplete or missing from the statement provided. Based on the options available, we see various mentions of a cost for Store 2's footballs, but we cannot verify their accuracy without the actual costs or any table.
Assuming we go with the costs mentioned in the options:
1. If Store 2's football costs $9, they have the better buy since $9 < $12.
2. If Store 2’s football costs $3, they also have the better buy since $3 < $12.
3. If Store 2's football costs $12, then they are equal; neither store would have the better buy.
Now, let's look at the available responses:
- "Store 2 has the better buy on footballs. Store 1’s football costs $24, and Store 2’s football costs $9." (Store 1's cost is actually $12)
- "Store 1 has the better buy on footballs. Store 2’s football costs $9, and Store 1’s football costs $3." (Both costs are incorrect)
- "Store 1 has the better buy on footballs. Store 2’s football costs $12, and Store 1’s football costs $9." (Again, this is incorrect)
- "Store 2 has the better buy on footballs. Store 1’s football costs $12, and Store 2’s football costs $9."
Based on the cost breakdown and only if Store 2's football actually costs $9, the last statement would be correct. Store 1's football costs $12 while Store 2's football costs $9, making Store 2's football the better buy.
**Conclusion:**
If Store 2's football costs $9, then Store 2 indeed has the better buy since it is less expensive than Store 1's football at $12. Therefore, the correct answer is:
*Store 2 has the better buy on footballs. Store 1’s football costs $12, and Store 2’s football costs $9.*