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Difference between revisions of "1993 AJHSME Problems/Problem 10"

(Created page with "== Problem 10 == This line graph represents the price of a trading card during the first <math>6</math> months of <math>1993</math>. <asy> unitsize(18); for (int a = 0; a <= 6;...")
 
m (match problem page, latex)
 
(3 intermediate revisions by 3 users not shown)
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== Problem 10 ==
+
== Problem ==
  
 
This line graph represents the price of a trading card during the first <math>6</math> months of <math>1993</math>.
 
This line graph represents the price of a trading card during the first <math>6</math> months of <math>1993</math>.
Line 23: Line 23:
 
label("$\textbf{1993 PRICES FOR A TRADING CARD}$",(12,10),N);
 
label("$\textbf{1993 PRICES FOR A TRADING CARD}$",(12,10),N);
  
−
label("$\begin{tabular}{c}\textbf{P} \\ \textbf{R} \\ \textbf{I} \\ \textbf{C} \\ \textbf{E} \end{tabular}$",(-2,5),W);
+
label("$\textbf{Price}$",(-2, 6),N);
 
label("$1$",(0,2),W);
 
label("$1$",(0,2),W);
 
label("$2$",(0,4),W);
 
label("$2$",(0,4),W);
Line 38: Line 38:
 
The graph shows the following price changes:
 
The graph shows the following price changes:
  
−
Jan : Change:-0.50
+
Jan: <math>-0.50</math>
  
−
Feb : Change:+2.00
+
Feb: <math>+2.00</math>
  
−
Mar : Change:-2.50
+
Mar: <math>-2.50</math>
  
−
Apr : Change:+3.00
+
Apr: <math>+3.00</math>
  
−
May : Change:-0.50
+
May: <math>-0.50</math>
  
−
Jun : Change:-2.00
+
Jun: <math>-2.00</math>
  
 
Therefore, <math> \boxed{\text{(B)}\ \text{March}} </math> has the largest price drop.
 
Therefore, <math> \boxed{\text{(B)}\ \text{March}} </math> has the largest price drop.
 +
 +
==See Also==
 +
 +
{{AJHSME box|year=1993|num-b=9|num-a=11}}
 +
{{MAA Notice}}

Latest revision as of 11:27, 27 June 2023

Problem

This line graph represents the price of a trading card during the first $6$ months of $1993$.

[asy] unitsize(18); for (int a = 0; a <= 6; ++a) { draw((4*a,0)--(4*a,10)); } for (int a = 0; a <= 5; ++a) { draw((0,2*a)--(24,2*a)); } draw((0,5)--(4,4)--(8,8)--(12,3)--(16,9)--(20,6)--(24,2),linewidth(1.5)); label("$Jan$",(2,0),S); label("$Feb$",(6,0),S); label("$Mar$",(10,0),S); label("$Apr$",(14,0),S); label("$May$",(18,0),S); label("$Jun$",(22,0),S); label("$\textbf{1993 PRICES FOR A TRADING CARD}$",(12,10),N); label("$\textbf{Price}$",(-2, 6),N); label("$1$",(0,2),W); label("$2$",(0,4),W); label("$3$",(0,6),W); label("$4$",(0,8),W); label("$5$",(0,10),W); [/asy]

The greatest monthly drop in price occurred during

$\text{(A)}\ \text{January} \qquad \text{(B)}\ \text{March} \qquad \text{(C)}\ \text{April} \qquad \text{(D)}\ \text{May} \qquad \text{(E)}\ \text{June}$

Solution

The graph shows the following price changes:

Jan: $-0.50$

Feb: $+2.00$

Mar: $-2.50$

Apr: $+3.00$

May: $-0.50$

Jun: $-2.00$

Therefore, $\boxed{\text{(B)}\ \text{March}}$ has the largest price drop.

See Also

1993 AJHSME (Problems • Answer Key • Resources)
Preceded by
Problem 9 		Followed by
Problem 11
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. AMC logo.png

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