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December 20, 2014

December 20, 2014

Posted by **Renee** on Wednesday, March 10, 2010 at 1:10am.

For example: A tennis club holds a doubles tournament every spring. This year the club has 40 teams involved. At the end of each round half of the teams are eliminated. How many rounds must be played to determine the winner?

So, I already found the answer (6 rounds). How do I find its function or equation to solve?

- Algebra -
**scott**, Wednesday, March 10, 2010 at 1:15amwouldn't it just be 40^1/2 that's 6.32 so 6 rounds

- Algebra -
**Renee**, Wednesday, March 10, 2010 at 1:21amBut...

The table is like this

x=Number of the round

y=Teams in the round

X Y

1 40

2 20

3 10

4 5

5 2.5

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.)

- Algebra -
**scott**, Wednesday, March 10, 2010 at 1:23amWell 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

- Algebra -
**drwls**, Wednesday, March 10, 2010 at 1:24amThe 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.

- Algebra -
**Renee**, Wednesday, March 10, 2010 at 1:27amThanks! (;

- Algebra -
**drwls**, Wednesday, March 10, 2010 at 1:29amn=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.

- Algebra -
**Renee**, Wednesday, March 10, 2010 at 1:31amAlso how did u find its function easily? Everytime I try to find the function it takes me a super long smount of time.

- Algebra -
**rachaekl**, Monday, April 8, 2013 at 11:05amwhat is the surface area of a rectangular prism with a base area 15m2, height 3m, and lateral area 18m2?? This is my question !!! PLEAS ANSWER

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