AMC8 2022

AMC8 2022 · Q15

AMC8 2022 · Q15. It mainly tests Rounding & estimation, Coordinate geometry.

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?

拉斯洛上网购买黑胡椒，发现三十种不同的黑胡椒选项，重量和价格不同，如下面的散点图所示。提供最低每盎司价格的胡椒重量是多少盎司？

(A) 1 1

(B) 2 2

(D) 4 4

(E) 5 5

Answer

Correct choice: (C)

正确答案：（C）

Solution

By the answer choices, we can disregard the points that do not have integer weights. As a result, we obtain the following diagram: We then proceed in the same way that we had done in Solution 1. Following the steps, we figure out the blue dot that yields the lowest slope, along with passing the origin. We then can look at the x-axis(in this situation, the weight) and figure out it has $\boxed{\textbf{(C) } 3}$ ounces.

根据选项，忽略非整数重量的点。得到如下图：然后计算通过原点的斜率最小的蓝点（价格/重量）。得出其重量为$\boxed{\textbf{(C) } 3}$盎司。

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