Question
Two price tags show the weight and cost of each bag. The first price tag shows a 2 pound bag, with a cost of 1 dollar and 99 cents, at 1 dollar per pound. The second price tag shows a 5 pound bag, with a cost of 3 dollars and 99 cents, at 0.80 cents per pound.
You have $10
to spend on carrots for your rabbits. Compare the prices for two different-sized bags. Which size is a better deal and why?
(1 point)
Responses
The 5-lb. bag is the better deal because it costs less than the 2-lb. bag.
The 5-lb. bag is the better deal because it costs less than the 2-lb. bag.
The 2-lb. bag is the better deal because it costs less.
The 2-lb. bag is the better deal because it costs less.
The 5-lb. bag is the better deal because the unit rate for the 5-lb. bag is less than the unit rate for the 2-lb. bag.
The 5-lb. bag is the better deal because the unit rate for the 5-lb. bag is less than the unit rate for the 2-lb. bag.
The 5-lb. bag is the better deal because 5 lb. is more than 2 lb.
The 5-lb. bag is the better deal because 5 lb. is more than 2 lb.
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You have $10
to spend on carrots for your rabbits. Compare the prices for two different-sized bags. Which size is a better deal and why?
(1 point)
Responses
The 5-lb. bag is the better deal because it costs less than the 2-lb. bag.
The 5-lb. bag is the better deal because it costs less than the 2-lb. bag.
The 2-lb. bag is the better deal because it costs less.
The 2-lb. bag is the better deal because it costs less.
The 5-lb. bag is the better deal because the unit rate for the 5-lb. bag is less than the unit rate for the 2-lb. bag.
The 5-lb. bag is the better deal because the unit rate for the 5-lb. bag is less than the unit rate for the 2-lb. bag.
The 5-lb. bag is the better deal because 5 lb. is more than 2 lb.
The 5-lb. bag is the better deal because 5 lb. is more than 2 lb.
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Answers
GPT-4o mini
To compare the prices of the two bags, let's look at the cost per pound for each bag and determine which is a better deal.
1. **2-pound bag:**
- Total cost: $1.99
- Cost per pound: $1.99 / 2 lbs = $0.995 per pound
2. **5-pound bag:**
- Total cost: $3.99
- Cost per pound: $3.99 / 5 lbs = $0.798 per pound
Now, let's compare the unit prices:
- The cost per pound for the 2-pound bag is approximately $1.00.
- The cost per pound for the 5-pound bag is approximately $0.80.
Since $0.80 (the price for the 5-pound bag) is less than $0.995 (the price for the 2-pound bag), the 5-pound bag is indeed the better deal.
Thus, the correct response is:
**The 5-lb. bag is the better deal because the unit rate for the 5-lb. bag is less than the unit rate for the 2-lb. bag.**
1. **2-pound bag:**
- Total cost: $1.99
- Cost per pound: $1.99 / 2 lbs = $0.995 per pound
2. **5-pound bag:**
- Total cost: $3.99
- Cost per pound: $3.99 / 5 lbs = $0.798 per pound
Now, let's compare the unit prices:
- The cost per pound for the 2-pound bag is approximately $1.00.
- The cost per pound for the 5-pound bag is approximately $0.80.
Since $0.80 (the price for the 5-pound bag) is less than $0.995 (the price for the 2-pound bag), the 5-pound bag is indeed the better deal.
Thus, the correct response is:
**The 5-lb. bag is the better deal because the unit rate for the 5-lb. bag is less than the unit rate for the 2-lb. bag.**