Difference between revisions of "2023 AMC 8 Problems/Problem 9"

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== Video Solution 1 by SpreadTheMathLove==  
 
== Video Solution 1 by SpreadTheMathLove==  
 
https://www.youtube.com/watch?v=lfyg5ZMV0gg
 
https://www.youtube.com/watch?v=lfyg5ZMV0gg
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 +
==Video Solution by Magic Square==
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https://youtu.be/-N46BeEKaCQ?t=4903
  
 
==See Also==  
 
==See Also==  
 
{{AMC8 box|year=2023|num-b=8|num-a=10}}
 
{{AMC8 box|year=2023|num-b=8|num-a=10}}
 
{{MAA Notice}}
 
{{MAA Notice}}

Revision as of 10:45, 25 January 2023

Problem

Malaika is skiing on a mountain. The graph below shows her elevation, in meters, above the base of the mountain as she skis along a trail. In total, how many seconds does she spend at an elevation between $4$ and $7$ meters?

2023 AMC 8-9.png

$\textbf{(A)}\ 6 \qquad \textbf{(B)}\ 8 \qquad \textbf{(C)}\ 10 \qquad \textbf{(D)}\ 12 \qquad \textbf{(E)}\ 14$

Solution

The time intervals in which Malaika's elevation is between $4$ and $7$ meters are:

  • from the $2$nd to the $4$th seconds
  • from the $6$th to the $10$th seconds
  • from the $12$th to the $14$th seconds

In total, Malaika spends $(4-2) + (10-6) + (14-12) = \boxed{\textbf{(B)}\ 8}$ seconds at such elevation.

~apex304, MRENTHUSIASM

Video Solution 1 by SpreadTheMathLove

https://www.youtube.com/watch?v=lfyg5ZMV0gg

Video Solution by Magic Square

https://youtu.be/-N46BeEKaCQ?t=4903

See Also

2023 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 8
Followed by
Problem 10
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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