2022 AMC 8
Complete problem set with solutions and individual problem pages
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?
- A.
- B.
- C.
- D.
- E.
Solution 1
We are looking for a black point, that when connected to the origin, yields the lowest slope. The slope represents the price per ounce. We can visually find that the point with the lowest slope is the blue point. Furthermore, it is the only one with a price per ounce significantly less than . Finally, we see that the blue point is in the category with a weight of ounces.
Solution 2 (Elimination)
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 . 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 ounces.
