Question

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?

$1$

$2$

$3$

$4$

$5$

Solution:

For each weight, only the lowest-price point at that weight can give the lowest price per ounce.

At $1$ ounce, the lowest price is more than $1$ dollar, so the price per ounce is more than $1$ .

At $2$ ounces, the lowest price is $2$ dollars, so the price per ounce is $1$ .

At $3$ ounces, the lowest price is about $2.5$ dollars, so the price per ounce is about $\frac{2.5}{3}$ , less than $1$ .

At $4$ ounces, the lowest price is close to $3.9$ dollars, so the price per ounce is close to $\frac{3.9}{4}$ , still larger than the $3$ -ounce option.

At $5$ ounces, the lowest price is close to $4.5$ dollars, so the price per ounce is close to $\frac{4.5}{5}$ , also larger than the $3$ -ounce option.

The price per ounce is lowest at $3$ ounces.

Thus, the correct answer is C.

2022 AMC 8 Problem 15

Solution:

Problem 15 in Other Years