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

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== Problem 10 ==
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== 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>.
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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);
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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);
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The graph shows the following price changes:
 
The graph shows the following price changes:
  
Jan : Change:-0.50
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Jan: <math>-0.50</math>
  
Feb : Change:+2.00
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Feb: <math>+2.00</math>
  
Mar : Change:-2.50
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Mar: <math>-2.50</math>
  
Apr : Change:+3.00
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Apr: <math>+3.00</math>
  
May : Change:-0.50
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May: <math>-0.50</math>
  
Jun : Change:-2.00
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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.
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==See Also==
 +
 +
{{AJHSME box|year=1993|num-b=9|num-a=11}}
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{{MAA Notice}}

Latest revision as of 12:27, 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 (ProblemsAnswer KeyResources)
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

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