2002 AMC 8 Problem 6
Attempt Problem 6 of the 2002 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 2002 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
6.
A birdbath is designed to overflow so that it will be self-cleaning. Water flows in at the rate of milliliters per minute and drains at the rate of milliliters per minute. One of these graphs shows the volume of water in the birdbath during the filling time and continuing into the overflow time. Which one is it?
Answer: A
Small hint:
Before overflow, the volume rises at a constant positive rate.
Big hint:
After the birdbath is full, extra water overflows so the volume stays constant.
Solution:
Before the birdbath overflows, it gains milliliters of water per minute, so its volume increases steadily.
Once the birdbath is full, the incoming extra water overflows, so the volume remains constant. Only graph A shows an increasing line followed by a horizontal line.
Thus, A is the correct answer.
Problem 6 in other years
- 1985 AMC 8
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