1993 AJHSME Problems/Problem 10

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Problem 10

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("$\begin{tabular}{c}\textbf{P} \\ \textbf{R} \\ \textbf{I} \\ \textbf{C} \\ \textbf{E} \end{tabular}$",(-2,5),W); 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 : Change:-0.50

Feb : Change:+2.00

Mar : Change:-2.50

Apr : Change:+3.00

May : Change:-0.50

Jun : Change:-2.00

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