2022 AMC 8 第 10 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
10.
一个晴天，Ling 决定去山里徒步。她上午 点离开家，以每小时 英里的恒定速度开车，上午 点到达步道入口。徒步 小时后，Ling 以每小时 英里的恒定速度开车回家。下列哪幅图最能表示整个行程中 Ling 的车与她家的距离？
One sunny day, Ling decided to take a hike in the mountains. She left her house at a.m., drove at a constant speed of miles per hour, and arrived at the hiking trail at a.m. After hiking for hours, Ling drove home at a constant speed of miles per hour. Which of the following graphs best illustrates the distance between Ling’s car and her house over the course of her trip?
小提示：
由去程开车先求家到步道入口的距离
Find the distance to the trail from the first drive
大提示：
回程速度更快，所以用时比去程少
The return drive is faster, so it takes less time than the outward drive
解答：
她以每小时 英里的速度开 小时，所以步道入口离家 英里。图像应从 英里上升到 英里，对应上午 点到 点，然后在徒步的 小时内保持水平。
她下午 点返程。返程路程为 英里，以每小时 英里的速度行驶需要 小时，所以下午 到家。符合的是选项 E。
正确答案是 E。
She drives miles per hour for hours, so the trail is miles from her house. The graph must rise from to miles between AM and AM, then stay flat for the -hour hike.
She starts home at PM. Driving miles at miles per hour takes hours, so she gets home at PM. This matches choice E.
Thus, the correct answer is E.
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