1998 AMC 8 Problem 15
Attempt Problem 15 of the 1998 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 1998 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
15.
Problems and all refer to the following:
Don’t Crowd The Isles
In the very center of the Irenic Sea lie the beautiful Nisos Isles. In the number of people on these islands is only but the population triples every years. Queen Irene has decreed that there must be at least square miles for every person living in the Isles. The total area of the Nisos Isles is square miles.
Estimate the population of Nisos in the year
Answer: D
Small hint:
Tripling twice gets from to
Big hint:
Use as the closest benchmark to
Solution:
The population in which is years after is
Since is close to the population in is approximately and the closest choice is
Thus, the correct answer is D .
Problem 15 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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