2023 AMC 8 Problem 9
Attempt Problem 9 of the 2023 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2023 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
9.
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 and meters?
Answer: B
Small hint:
Count the time intervals where the graph is between the two heights
Big hint:
Split the count into the three separate intervals visible on the graph
Video solution:
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Written solution:
The first time that she hits an elevation of meters is at seconds.
She then dips below meters after seconds. This adds seconds to the total answer.
Malaika then goes above meters at seconds. She hits meters again at seconds.
This adds more seconds to the total. She finally dips below meters for the last time at seconds.
She then falls below meters at seconds, finally adding seconds to the total time.
The desired total is Thus, B is the correct answer.
Problem 9 in other years
- 1985 AMC 8
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- 1987 AMC 8
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