2004 AMC 8 Problem 23
Attempt Problem 23 of the 2004 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2004 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
23.
Tess runs counterclockwise around rectangular block She lives at corner Which graph could represent her straight-line distance from home?
Answer: D
Small hint:
Track the distance from corner at each side of the rectangle.
Big hint:
The distance is greatest at the opposite corner
Solution:
As Tess runs from to her distance from home increases.
From to her distance continues to increase, but with a different shape, reaching its maximum at the opposite corner
From to and then from back to her distance decreases back to again changing behavior at
Graph is the only graph with this increase, changed-rate increase, changed-rate decrease, and final decrease to
Thus, D is the correct answer.
Problem 23 in other years
- 1985 AMC 8
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