AMC 8 2002 Problem 6

AMC8 2002 年第 6 题

工程问题★★☆☆☆

A birdbath is designed to overflow so that it will be self-cleaning. Water flows in at the rate of 20 milliliters per minute and drains at the rate of 18 milliliters per minute. Which one of these graphs shows the volume of water in the birdbath during the filling time and continuing into the overflow time?

一种水盆设计为溢流式，以便能够自动清洗。水以每分钟 20 毫升的速度流入，以每分钟 18 毫升的速度排出。其中某一张图显示了从灌水开始，一直持续到不断溢出这段时间内，水盆中的水量。这张图是下面哪一个?

A. $\text{A}$
B. $\text{B}$
C. $\text{C}$
D. $\text{D}$
E. $\text{E}$

正确答案 · Correct Answer

解析 · Solution

Solution 1

The change in the water volume has a net gain of 20-18=2 millimeters per minute. The birdbath's volume increases at a constant rate until it reaches its maximum and starts overflowing to keep a constant volume. This is best represented by graph

\text{(A)\ A}

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