Posted by Renee on Wednesday, March 10, 2010 at 1:10am.
wouldn't it just be 40^1/2 that's 6.32 so 6 rounds
The table is like this
x=Number of the round
y=Teams in the round
6 1.25 -> 1
How do I find the function or equation using variables x and y?
(To find the function more faster because, I have 3 other problems like this and I want to try to do the others on my own.)
Well This is what I did to get 40^.5 you know the amount Y and then you already know the function X its Y^x.
that's what I just went over today in class
The number of rounds is the smallest integer n that satisfies
N*(1/2)^n = 1
where N is the number of teams.
for n = 5, 40*(1/2)^5 = 1.25
for n = 6, 40*(1/2)^6 = 0.625
So n is the answer.
It has nothing to do with square roots, as the previous answer suggests.
n=6 rounds are needed, including the championship. With 40 teams, there can be a lot of "byes" in early rounds. Up to 64 teams could be included in a 6-round tournament.
Also how did u find its function easily? Everytime I try to find the function it takes me a super long smount of time.
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