Difference between revisions of "2022 AMC 8 Problems/Problem 15"
Mathfun1000 (talk | contribs) (Created page with "==Problem== 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 ounce...") |
Dairyqueenxd (talk | contribs) (→Problem) |
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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? | 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? | ||
| − | <math>\textbf{(A) } 1 \qquad \textbf{(B) } 2 \qquad \textbf{(C) } 3 \qquad \textbf{(D) } 4 \qquad \textbf{(E) } 5</math> | + | <asy> |
| + | //diagram by pog | ||
| + | size(5.5cm); | ||
| + | usepackage("mathptmx"); | ||
| + | defaultpen(mediumgray*0.5+gray*0.5+linewidth(0.63)); | ||
| + | add(grid(6,6)); | ||
| + | label(scale(0.7)*"$1$", (1,-0.3), black); | ||
| + | label(scale(0.7)*"$2$", (2,-0.3), black); | ||
| + | label(scale(0.7)*"$3$", (3,-0.3), black); | ||
| + | label(scale(0.7)*"$4$", (4,-0.3), black); | ||
| + | label(scale(0.7)*"$5$", (5,-0.3), black); | ||
| + | label(scale(0.7)*"$1$", (-0.3,1), black); | ||
| + | label(scale(0.7)*"$2$", (-0.3,2), black); | ||
| + | label(scale(0.7)*"$3$", (-0.3,3), black); | ||
| + | label(scale(0.7)*"$4$", (-0.3,4), black); | ||
| + | label(scale(0.7)*"$5$", (-0.3,5), black); | ||
| + | label(scale(0.75)*rotate(90)*"Price (dollars)", (-1,3.2), black); | ||
| + | label(scale(0.75)*"Weight (ounces)", (3.2,-1), black); | ||
| + | dot((1,1.2),black); | ||
| + | dot((1,1.7),black); | ||
| + | dot((1,2),black); | ||
| + | dot((1,2.8),black); | ||
| + | |||
| + | dot((1.5,2.1),black); | ||
| + | dot((1.5,3),black); | ||
| + | dot((1.5,3.3),black); | ||
| + | dot((1.5,3.75),black); | ||
| + | |||
| + | dot((2,2),black); | ||
| + | dot((2,2.9),black); | ||
| + | dot((2,3),black); | ||
| + | dot((2,4),black); | ||
| + | dot((2,4.35),black); | ||
| + | dot((2,4.8),black); | ||
| + | |||
| + | dot((2.5,2.7),black); | ||
| + | dot((2.5,3.7),black); | ||
| + | dot((2.5,4.2),black); | ||
| + | dot((2.5,4.4),black); | ||
| + | |||
| + | dot((3,2.5),black); | ||
| + | dot((3,3.4),black); | ||
| + | dot((3,4.2),black); | ||
| + | |||
| + | dot((3.5,3.8),black); | ||
| + | dot((3.5,4.5),black); | ||
| + | dot((3.5,4.8),black); | ||
| + | |||
| + | dot((4,3.9),black); | ||
| + | dot((4,5.1),black); | ||
| + | |||
| + | dot((4.5,4.75),black); | ||
| + | dot((4.5,5),black); | ||
| + | |||
| + | dot((5,4.5),black); | ||
| + | dot((5,5),black); | ||
| + | </asy> | ||
| + | |||
| + | <math>\textbf{(A) }1\qquad\textbf{(B) }2\qquad\textbf{(C) }3\qquad\textbf{(D) }4\qquad\textbf{(E) }5</math> | ||
==Solution== | ==Solution== | ||
Revision as of 17:22, 28 January 2022
Problem
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?
![[asy] //diagram by pog size(5.5cm); usepackage("mathptmx"); defaultpen(mediumgray*0.5+gray*0.5+linewidth(0.63)); add(grid(6,6)); label(scale(0.7)*"$1$", (1,-0.3), black); label(scale(0.7)*"$2$", (2,-0.3), black); label(scale(0.7)*"$3$", (3,-0.3), black); label(scale(0.7)*"$4$", (4,-0.3), black); label(scale(0.7)*"$5$", (5,-0.3), black); label(scale(0.7)*"$1$", (-0.3,1), black); label(scale(0.7)*"$2$", (-0.3,2), black); label(scale(0.7)*"$3$", (-0.3,3), black); label(scale(0.7)*"$4$", (-0.3,4), black); label(scale(0.7)*"$5$", (-0.3,5), black); label(scale(0.75)*rotate(90)*"Price (dollars)", (-1,3.2), black); label(scale(0.75)*"Weight (ounces)", (3.2,-1), black); dot((1,1.2),black); dot((1,1.7),black); dot((1,2),black); dot((1,2.8),black); dot((1.5,2.1),black); dot((1.5,3),black); dot((1.5,3.3),black); dot((1.5,3.75),black); dot((2,2),black); dot((2,2.9),black); dot((2,3),black); dot((2,4),black); dot((2,4.35),black); dot((2,4.8),black); dot((2.5,2.7),black); dot((2.5,3.7),black); dot((2.5,4.2),black); dot((2.5,4.4),black); dot((3,2.5),black); dot((3,3.4),black); dot((3,4.2),black); dot((3.5,3.8),black); dot((3.5,4.5),black); dot((3.5,4.8),black); dot((4,3.9),black); dot((4,5.1),black); dot((4.5,4.75),black); dot((4.5,5),black); dot((5,4.5),black); dot((5,5),black); [/asy]](http://latex.artofproblemsolving.com/7/d/7/7d71d9a640e769adf70fdb85c37de28767346517.png)
Solution
~MathFun1000
See Also
| 2022 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 14 |
Followed by Problem 16 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
