Question 250049
guess and check table can be found by linking to this website.


<a href = "http://home.avvanta.com/~math/guess.html" target = "_blank">http://home.avvanta.com/~math/guess.html</a>


construct your table as follows:


<pre>
             s             4*s             4*s-23             match 417?
            100            400             377                 too low
            200            800             777                 too high
            150            600             577                 too high
            125            500             477                 too high
            110            440             417                 match *********
</pre>
I started at 100, then doubled it, then halved the difference, then halved the difference again, then took close to one half the distance, lowering my estimate if too high and raising it if too low.


Sears tower is 110 stories high.


Some interesting tidbits regarding tellest buildings in the world.


<a href = "http://www.infoplease.com/ipa/A0001338.html" target = "_blank">http://www.infoplease.com/ipa/A0001338.html</a>


Another interesting tidbit from <a href = "http://en.wikipedia.org/wiki/Willis_Tower" target = "_blank">http://en.wikipedia.org/wiki/Willis_Tower</a>


The tower has 108 stories as counted by standard methods, though the building's owners count the main roof as 109 and the mechanical penthouse roof as 110.