2022 AMC 8 Problem 15
Attempt Problem 15 of the 2022 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2022 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
15.
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?
Answer: C
Small hint:
Compare price divided by weight
Big hint:
For each weight, only the lowest plotted price can be best
Solution:
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.
Problem 15 in other years
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