问题


There is a single choice question about high school mathematics. Answer the question by replying A, B, C or D.
Question: In Canada in 2014, the average wholesale price of soybeans was $0.24 per pound. In 2015, the average wholesale price of soybeans was $0.16 per pound. If a retailer purchased 20,000 pounds of soybeans in 2014 and in 2015, what was the percent change in the retailer’s expenses from 2014 to 2015?
A. –8%
B. –33%
C. –50%
D. 8%
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

B. –33%
B
deepseekr1

The retailer's expenses in 2014 were \(20,\!000 \times \$0.24 = \$4,\!800\). In 2015, expenses were \(20,\!000 \times \$0.16 = \$3,\!200\). The percent change is calculated as:

\[
\frac{\$3,\!200 - \$4,\!800}{\$4,\!800} \times 100\% = \frac{-\$1,\!600}{\$4,\!800} \times 100\% = -33.\overline{3}\%\ \approx -33\%.
\]

This matches option **B**.

Answer: B
B
gpto1 B B
GPT-4o B. –33% B
llama3.1-70B-Instruct

B
B
llama3.1-405B-Instruct

B. The question asks for a percent change in expenses. Percent change is calculated using the equation %change=the change in the quantitythe original quantity×100 . The original quantity is the 2014 expenses, which can be found by multiplying the price per pound by the number of pounds to get 0.24 × 20,000 = 4,800. The 2015 expenses are 0.16 × 20,000 = 3,200. The change in expenses is 3,200 – 4,800 = –1,600. Substitute these values into the percent change equation to get %change=−1,6004,800×100=−0.33×100=−33% . The correct answer is (B).
The best answer is B.
B
DeepSeek-Coder-V2 B. –33% B
Qwen2-72B-Instruct B. –33% B
baichuan4 B. –33% B
doubao C

In 2014, the expense for 20,000 pounds of soybeans = 20,000 * $0.24 = $4,800.
In 2015, the expense for 20,000 pounds of soybeans = 20,000 * $0.16 = $3,200.
The change in expense = $4,800 - $3,200 = $1,600.
The percent change = ($1,600 / $4,800) * 100% = 33.33% ≈ -33% (negative because it's a decrease).
B
minimax To find the percent change in the retailer's expenses from 2014 to 2015, we first calculate the total expenses for each year and then find the percent change.

In 2014, the retailer purchased 20,000 pounds at $0.24 per pound:
2014 expenses = 20,000 pounds * $0.24/pound = $4,800

In 2015, the retailer purchased 20,000 pounds at $0.16 per pound:
2015 expenses = 20,000 pounds * $0.16/pound = $3,200

Now, we calculate the percent change from 2014 to 2015:
Percent change = [(Old value - New value) / Old value] * 100
Percent change = [($4,800 - $3,200) / $4,800] * 100
Percent change = [$1,600 / $4,800] * 100
Percent change = 0.3333... * 100
Percent change = 33.33...

The percent change in the retailer's expenses from 2014 to 2015 is a decrease of approximately 33%.

The correct answer is:
B. –33%
B
kimi To calculate the percent change in the retailer's expenses from 2014 to 2015, we first need to determine the total cost for each year and then find the difference between the two years as a percentage of the original amount.

For 2014:
Cost per pound = $0.24
Total pounds purchased = 20,000
Total cost for 2014 = Cost per pound * Total pounds purchased = $0.24 * 20,000 = $4,800

For 2015:
Cost per pound = $0.16
Total pounds purchased = 20,000
Total cost for 2015 = Cost per pound * Total pounds purchased = $0.16 * 20,000 = $3,200

Now, let's calculate the percent change:
Percent change = [(Original amount - New amount) / Original amount] * 100
Percent change = [($4,800 - $3,200) / $4,800] * 100
Percent change = [$1,600 / $4,800] * 100
Percent change = 0.3333 * 100
Percent change = 33.33%

The closest answer is B. –33%.
B
wenxinyiyan B. –33%

Explanation:

To calculate the percent change in the retailer’s expenses, we need to first calculate the total expenses for each year and then determine the percentage change from 2014 to 2015.

1. **Calculate Total Expenses for 2014**:


* Price per pound in 2014: $0.24
* Quantity purchased: 20,000 pounds
* Total expenses in 2014: $0.24 * 20,000 = $4,800
2. **Calculate Total Expenses for 2015**:


* Price per pound in 2015: $0.16
* Quantity purchased: 20,000 pounds
* Total expenses in 2015: $0.16 * 20,000 = $3,200
3. **Calculate Percent Change**:


* Percent change formula: \(\text{Percent Change} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100\%\)
* Substituting the values: \(\text{Percent Change} = \left( \frac{3,200 - 4,800}{4,800} \right) \times 100\% = -33.33\%\)

Rounding to the nearest integer percentage, the percent change in the retailer’s expenses from 2014 to 2015 was approximately –33%.
B
zhipu To determine the percent change in the retailer's expenses from 2014 to 2015, we need to follow these steps:

1. Calculate the total expenses in 2014.
2. Calculate the total expenses in 2015.
3. Determine the change in expenses.
4. Calculate the percent change.

**Step 1: Total expenses in 2014:**
- Price per pound in 2014: $0.24
- Quantity purchased: 20,000 pounds
- Total expenses in 2014 = $0.24/pound × 20,000 pounds = $4,800

**Step 2: Total expenses in 2015:**
- Price per pound in 2015: $0.16
- Quantity purchased: 20,000 pounds
- Total expenses in 2015 = $0.16/pound × 20,000 pounds = $3,200

**Step 3: Change in expenses:**
- Change in expenses = Total expenses in 2015 - Total expenses in 2014
- Change in expenses = $3,200 - $4,800 = -$1,600

**Step 4: Percent change:**
- Percent change = (Change in expenses / Total expenses in 2014) × 100
- Percent change = (-$1,600 / $4,800) × 100
- Percent change = -1/3 × 100
- Percent change = -33%

The percent change in the retailer's expenses from 2014 to 2015 is -33%.

**Answer: B. –33%**
B
gpto1 B B
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