Difference between revisions of "2012 AMC 12B Problems/Problem 6"
m (minor edit) |
(I LIKE TURTLES AND MAILBOXES!!!) |
||
| Line 10: | Line 10: | ||
== See Also == | == See Also == | ||
{{AMC12 box|year=2012|ab=B|num-b=5|num-a=7}} | {{AMC12 box|year=2012|ab=B|num-b=5|num-a=7}} | ||
| − | {{MAA Notice | + | {{MAA Notice} |
Revision as of 17:17, 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 | |
{{MAA Notice}
