Difference between revisions of "2011 AMC 8 Problems/Problem 11"
(Created page with "Average the differences between the two times. 10, -10, 20, 30, -20 The sum is 30. Divide by 5 = 6.") |
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| − | + | The graph shows the number of minutes studied by both Asha (black bar) and Sasha (grey bar) in one week. On the average, how many more minutes per day did Sasha study than Asha? | |
| − | 10, | + | <asy> |
| − | + | size(300); | |
| + | real i; | ||
| + | defaultpen(linewidth(0.8)); | ||
| + | draw((0,140)--origin--(220,0)); | ||
| + | for(i=1;i<13;i=i+1) { | ||
| + | draw((0,10*i)--(220,10*i)); | ||
| + | } | ||
| + | label("$0$",origin,W); | ||
| + | label("$20$",(0,20),W); | ||
| + | label("$40$",(0,40),W); | ||
| + | label("$60$",(0,60),W); | ||
| + | label("$80$",(0,80),W); | ||
| + | label("$100$",(0,100),W); | ||
| + | label("$120$",(0,120),W); | ||
| + | path MonD=(20,0)--(20,60)--(30,60)--(30,0)--cycle,MonL=(30,0)--(30,70)--(40,70)--(40,0)--cycle,TuesD=(60,0)--(60,90)--(70,90)--(70,0)--cycle,TuesL=(70,0)--(70,80)--(80,80)--(80,0)--cycle,WedD=(100,0)--(100,100)--(110,100)--(110,0)--cycle,WedL=(110,0)--(110,120)--(120,120)--(120,0)--cycle,ThurD=(140,0)--(140,80)--(150,80)--(150,0)--cycle,ThurL=(150,0)--(150,110)--(160,110)--(160,0)--cycle,FriD=(180,0)--(180,70)--(190,70)--(190,0)--cycle,FriL=(190,0)--(190,50)--(200,50)--(200,0)--cycle; | ||
| + | fill(MonD,grey); | ||
| + | fill(MonL,lightgrey); | ||
| + | fill(TuesD,grey); | ||
| + | fill(TuesL,lightgrey); | ||
| + | fill(WedD,grey); | ||
| + | fill(WedL,lightgrey); | ||
| + | fill(ThurD,grey); | ||
| + | fill(ThurL,lightgrey); | ||
| + | fill(FriD,grey); | ||
| + | fill(FriL,lightgrey); | ||
| + | draw(MonD^^MonL^^TuesD^^TuesL^^WedD^^WedL^^ThurD^^ThurL^^FriD^^FriL); | ||
| + | label("M",(30,-5),S); | ||
| + | label("Tu",(70,-5),S); | ||
| + | label("W",(110,-5),S); | ||
| + | label("Th",(150,-5),S); | ||
| + | label("F",(190,-5),S); | ||
| + | label("M",(-25,85),W); | ||
| + | label("I",(-27,75),W); | ||
| + | label("N",(-25,65),W); | ||
| + | label("U",(-25,55),W); | ||
| + | label("T",(-25,45),W); | ||
| + | label("E",(-25,35),W); | ||
| + | label("S",(-26,25),W);</asy> | ||
| + | |||
| + | <math> \textbf{(A)}\ 6\qquad\textbf{(B)}\ 8\qquad\textbf{(C)}\ 9\qquad\textbf{(D)}\ 10\qquad\textbf{(E)}\ 12 </math> | ||
| + | |||
| + | ==See Also== | ||
| + | {{AMC8 box|year=2010|num-b=24|after=Last Problem}} | ||
Revision as of 18:48, 4 November 2012
The graph shows the number of minutes studied by both Asha (black bar) and Sasha (grey bar) in one week. On the average, how many more minutes per day did Sasha study than Asha?
![[asy] size(300); real i; defaultpen(linewidth(0.8)); draw((0,140)--origin--(220,0)); for(i=1;i<13;i=i+1) { draw((0,10*i)--(220,10*i)); } label("$0$",origin,W); label("$20$",(0,20),W); label("$40$",(0,40),W); label("$60$",(0,60),W); label("$80$",(0,80),W); label("$100$",(0,100),W); label("$120$",(0,120),W); path MonD=(20,0)--(20,60)--(30,60)--(30,0)--cycle,MonL=(30,0)--(30,70)--(40,70)--(40,0)--cycle,TuesD=(60,0)--(60,90)--(70,90)--(70,0)--cycle,TuesL=(70,0)--(70,80)--(80,80)--(80,0)--cycle,WedD=(100,0)--(100,100)--(110,100)--(110,0)--cycle,WedL=(110,0)--(110,120)--(120,120)--(120,0)--cycle,ThurD=(140,0)--(140,80)--(150,80)--(150,0)--cycle,ThurL=(150,0)--(150,110)--(160,110)--(160,0)--cycle,FriD=(180,0)--(180,70)--(190,70)--(190,0)--cycle,FriL=(190,0)--(190,50)--(200,50)--(200,0)--cycle; fill(MonD,grey); fill(MonL,lightgrey); fill(TuesD,grey); fill(TuesL,lightgrey); fill(WedD,grey); fill(WedL,lightgrey); fill(ThurD,grey); fill(ThurL,lightgrey); fill(FriD,grey); fill(FriL,lightgrey); draw(MonD^^MonL^^TuesD^^TuesL^^WedD^^WedL^^ThurD^^ThurL^^FriD^^FriL); label("M",(30,-5),S); label("Tu",(70,-5),S); label("W",(110,-5),S); label("Th",(150,-5),S); label("F",(190,-5),S); label("M",(-25,85),W); label("I",(-27,75),W); label("N",(-25,65),W); label("U",(-25,55),W); label("T",(-25,45),W); label("E",(-25,35),W); label("S",(-26,25),W);[/asy]](http://latex.artofproblemsolving.com/3/f/8/3f89cfb6f42754e61437502705cb54a5f518690d.png)
See Also
| 2010 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 24 |
Followed by Last Problem | |
| 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 | ||
