|
|
| Line 1: |
Line 1: |
| − | ==Problem==
| + | #redirect [[2024 AMC 12A Problems/Problem 9]] |
| − | Zelda played the ''Adventures of Math'' game on August 1 and scored <math>1700</math> points. She continued to play daily over the next <math>5</math> days. The bar chart below shows the daily change in her score compared to the day before. (For example, Zelda's score on August 2 was <math>1700 + 80 = 1780</math> points.) What was Zelda's average score in points over the <math>6</math> days?[[File:Screenshot_2024-11-08_1.51.51_PM.png]]
| |
| − | | |
| − | <math>\textbf{(A)} 1700\qquad\textbf{(B)} 1702\qquad\textbf{(C)} 1703\qquad\textbf{(D)}1713\qquad\textbf{(E)} 1715</math>
| |
| − | | |
| − | ==Solution 1==
| |
| − | Going through the table, we see her scores over the six days were: <math>1700</math>, <math>1700+80=1780</math>, <math>1780-90=1690</math>, <math>1690-10=1680</math>, <math>1680+60=1740</math>, and <math>1740-40=1700</math>.
| |
| − | | |
| − | Taking the average, we get <math>\frac{(1700+1780+1690+1680+1740+1700)}{6} = \boxed{\textbf{(E) } 1715}.</math>
| |
| − | | |
| − | -i_am_suk_at_math_2
| |
| − | | |
| − | ==Solution 2==
| |
| − | Compared to the first day <math>(1700)</math>, her scores change by <math>+80</math>, <math>-10</math>, <math>-20</math>, <math>+40</math>, and <math>+0</math>. So, the average is <math>1700 + \frac{80-10-20+40+0}{6} = \boxed{\textbf{(E) }1715}</math>.
| |
| − | | |
| − | -mathfun2012
| |
| − | | |
| − | ==Solution 3==
| |
| − | As the scores of each day are dependent on previous days, we get: <math>1700 + \dfrac{0\cdot6 + 80\cdot5 + (-90)\cdot4 + (-10)\cdot3 + 60\cdot2 + (-40)\cdot1}{6} = \boxed{\textbf{(E) }1715}</math>
| |
| − | | |
| − | ~NSAoPS
| |
| − | | |
| − | == Video Solution by Pi Academy ==
| |
| − | | |
| − | https://youtu.be/ABkKz0gS1MU?si=ZQBgDMRaJmMPSSMM
| |
| − | | |
| − | ==Video Solution 1 by Power Solve ==
| |
| − | https://youtu.be/mfTDSXH9j2g
| |
| − | | |
| − | == Video Solution by Daily Dose of Math ==
| |
| − | | |
| − | https://youtu.be/t8Dpj7dHZ3s
| |
| − | | |
| − | ~Thesmartgreekmathdude
| |
| − | | |
| − | ==Video Solution by SpreadTheMathLove==
| |
| − | https://www.youtube.com/watch?v=6SQ74nt3ynw
| |
| − | ==Video Solution by Just Math⚡==
| |
| − | https://www.youtube.com/watch?v=o1Kiz_lZc90
| |
| − | | |
| − | ==See Also==
| |
| − | {{AMC10 box|year=2024|ab=A|num-b=11|num-a=13}}
| |
| − | {{MAA Notice}}
| |
