2022 AMC 8 第 15 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
15.
Laszlo 上网购买黑胡椒，找到了三十种不同的黑胡椒选项，重量和价格如下方散点图所示。按盎司计算，哪种重量的黑胡椒每盎司价格最低？
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?
小提示：
比较价格除以重量
Compare price divided by weight
大提示：
对每种重量，只需考虑该重量中价格最低的点
For each weight, only the lowest plotted price can be best
解答：
对于每种重量，只有价格最低的那个点才可能给出最低的每盎司价格。
在 盎司时，最低价格超过 美元，所以每盎司价格超过 美元。
在 盎司时，最低价格为 美元，所以每盎司价格为 美元。
在 盎司时，最低价格约为 美元，所以每盎司价格约为 ，小于 美元。
在 盎司时，最低价格接近 美元，每盎司约为 ，仍高于 盎司选项。
在 盎司时，最低价格接近 美元，每盎司约为 ，也高于 盎司选项。
所以每盎司价格最低的是 盎司。
正确答案是 C。
For each weight, only the lowest-price point at that weight can give the lowest price per ounce.
At ounce, the lowest price is more than dollar, so the price per ounce is more than .
At ounces, the lowest price is dollars, so the price per ounce is .
At ounces, the lowest price is about dollars, so the price per ounce is about , less than .
At ounces, the lowest price is close to dollars, so the price per ounce is close to , still larger than the -ounce option.
At ounces, the lowest price is close to dollars, so the price per ounce is close to , also larger than the -ounce option.
The price per ounce is lowest at ounces.
Thus, the correct answer is C.
其他年份的第 15 题
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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