2012 AMC 8 Problem 2

Below is the video solution and professionally curated solution for Problem 2 of the 2012 AMC 8, 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.

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Concepts:rateestimation

Difficulty rating: 660

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

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 2365=730.2\cdot 365 = 730 . This is approximately 700.700.

Thus, the answer is B .

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