AMC 8 2022 Problem 15
AMC8 2022 年第 15 题
统计与数据图表★★★☆☆
Laszlo went online to shop for black pepper and found thirty different black pepper options varying in weight and price, shown in the scatter plot below. In ounces, what is the weight of the pepper that offers the lowest price per ounce?
Laszlo 在网上选购黑胡椒，发现有三十种不同的黑胡椒，重量和价格不尽相同，如下面的散点图所示。问每盎司价格最低的那种胡椒的重量是多少盎司？
- A.1
- B.2
- C.3
- D.4
- E.5
正确答案 · Correct Answer
C
解析 · Solution
Solution 1
The dashed line in the figure above passes through the peppers that cost exactly 11 per ounce. The peppers above the line are more expensive. The only peppers that cost less than 11 per ounce are the three peppers below the dashed line, labeled 𝐴, 𝐵 A,B and 𝐶 C. Pepper 𝐴 A costs about 2.50 2.50 for 3 3 ounces, which is 0.83 0.83 per ounce; pepper 𝐵 B costs a little less than 11 per ounce; and pepper 𝐶 C costs about 4.50 4.50 for 5 5 ounces, which is 0.90 0.90 per ounce. Thus the lowest price per ounce is offered by pepper 𝐴 A which weighs 3 3 ounces. 𝑂 𝑅 OR If a line is drawn from the origin to any of the peppers, the slope of the line corresponds to the price per ounce for that pepper. The line with the smallest slope, as shown above, is the one connecting the origin to pepper 𝐴 A, which weighs 3 3 ounces. Answer: 𝐶 C .
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