2007 AMC 8 Problem 6

Attempt Problem 6 of the 2007 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 2007 AMC 8 solutions, or check the answer key.

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

6.

The average cost of a long-distance call in the USA in 19851985 was 4141 cents per minute, and the average cost of a long-distance call in the USA in 20052005 was 77 cents per minute. Find the approximate percent decrease in the cost per minute of a long-distance call.
77
1717
3434
4141
8080
Answer: E
Concepts:percentageestimation
Small hint:
Percent decrease is decrease divided by the original amount.
Big hint:
The decrease is from 4141 cents to 77 cents, so compare 3434 to 41.41.
Solution:
The decrease in cost is 41−7=3441-7=34 cents per minute.
The percent decrease is 100⋅3441%100\cdot\dfrac{34}{41}\%, which is a little more than 80%80\%, so the closest answer is 8080.
Thus, E is the correct answer.
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