2012 AMC 8 Problem 2

Attempt Problem 2 of the 2012 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2012 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

2.

In the county of East Westmore, statisticians estimate there is a baby born every 8 8 hours and a death every day. To the nearest hundred, how many people are added to the population of East Westmore each year?
600 600
700 700
800 800
900 900
1000 1000
Answer: B
Concepts:rateestimation
Small hint:
Find the net population change in one day.
Big hint:
A birth every 88 hours means 33 births per day.
Video solution:
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Written solution:
Since we have 11 birth every 88 hours, we have 33 births every 2424 hours. Therefore, we have 33 births a day and 11 death a day. The net change in population every day should be on average 2.2. Since we have 365365 days in a year and 22 added to the population every day, the net change in population should be around 2⋅365=730.2\cdot 365 = 730 . This is approximately 700.700.
Thus, the answer is B .
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