2023 AMC 8
Complete problem set with solutions and individual problem pages
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?
- A.
- B.
- C.
- D.
- E.
Solution 1
We mark the time intervals in which Malaika's elevation is between and meters in red, as shown below:
The requested time intervals are:
- from the nd to the th seconds - from the th to the th seconds - from the th to the th seconds In total, Malaika spends seconds at such elevation.
Solution 2
Notice that the entire section between the second mark and the second mark is between the and feet elevation level except the seconds where she skis just under the feet mark and when she skis just above the feet mark, making the answer
