2003 AMC 8 Problem 24

Below is the professionally curated solution for Problem 24 of the 2003 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2003 AMC 8 solutions, or check the answer key.

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Concepts:data and graph interpretationcircle

Difficulty rating: 1540

24.

A ship travels from point AA to point BB along a semicircular path, centered at Island X.X. Then it travels along a straight path from BB to C.C. Which of these graphs best shows the ship’s distance from Island XX as it moves along its course?

Solution:

Every point on the semicircular path from AA to BB is the same distance from the center XX, so the graph starts horizontally.

On the straight path from BB to CC, the ship first gets closer to XX and then farther away from XX.

Only graph BB starts flat and then decreases before increasing.

Thus, B is the correct answer.

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