Difference between revisions of "2012 AMC 12B Problems/Problem 6"
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Revision as of 18:39, 9 February 2023
Problem
In order to estimate the value of where
and
are real numbers with
, Xiaoli rounded
up by a small amount, rounded
down by the same amount, and then subtracted her rounded values. Which of the following statements is necessarily correct?
Solution
The original expression now becomes
, where
is a positive constant, hence the answer is
.
See Also
2012 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 5 |
Followed by Problem 7 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All AMC 12 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.