Problem

2003 AMC 8 Problem 24

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

[asy]size(150); pair X=origin, A=(-5,0), B=(5,0), C=(0,5); draw(Arc(X, 5, 180, 360)^^B--C); dot(X); label("$X$", X, NE); label("$C$", C, N); label("$B$", B, E); label("$A$", A, W); [/asy]

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

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Category: AMC 8
Points: 2
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