SOLUTION: A national pool tournament starts with 650 teams. Each round sends half the teams to the losers bracket. 12. Complete the table below to show the number of teams in the tou

Algebra.Com
Question 1068159: A national pool tournament starts with 650 teams. Each round sends half the teams to the losers bracket.

12. Complete the table below to show the number of teams in the tournament (5 points)
Answer:??
13. Write an explicit formula to describe this sequence that will determine how many teams are playing at any given round. Describe what “a” and “r” represent. (10 points)
Answer:??

14. How many rounds will it take to get down to the winning team? You may choose to use a table or a regression equation to generate a table. (5 points)
15. How are linear and exponential functions similar and different. Discuss the relationship between the m and b in y= mx+b and the a and b or a and r in y = a (b)x or an = a1(r)x. (5 points)
Answer: ??

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A national pool tournament starts with 650 teams. Each round sends half the teams to the losers bracket.
12. Complete the table below to show the number of teams in the tournament (5 points)
Answer:??(0,650),(1,325),(2,163),etc.
------
13. Write an explicit formula to describe this sequence that will determine how many teams are playing at any given round. Describe what “a” and “r” represent. (10 points)
Answer:?? a(n) = 650(1/2)^n where n = 0,1,2,3...
"a" = 650 is the original number of teams
"r" is the common ratio of the exponential equation
---------------------
14. How many rounds will it take to get down to the winning team? You may choose to use a table or a regression equation to generate a table. (5 points)
Solve::
1 = 650(1/2)^n
(1/2)^n = 1/650
n = log[(1/650)]/log(1/2) = 9.34
------------------
Cheers,
Stan H.
-----------
-----------------------
15. How are linear and exponential functions similar and different. Discuss the relationship between the m and b in y= mx+b and the a and b or a and r in y = a (b)x or an = a1(r)x. (5 points)
Answer: ?? I'll leave this discussion question to you.


RELATED QUESTIONS

Jennifer starts a new investment account that grows exponentially. Her financial advisor... (answered by addingup)
can you please help me solve this problem?! In a large city league, the boys'... (answered by jim_thompson5910)
In a large city league, the boys' baseball teams hold a tournament. If there are 40 teams (answered by ewatrrr)
I will be holding a academic competition and I am trying to create a bracket or chart... (answered by ikleyn)
The NCAA Men’s Division I Basketball Championship Tournament, often referred to as March... (answered by Boreal)
In a round-robin tournament, each team must play every other team once. How many games... (answered by richard1234)
A school had a basketball tournament. The different teams played against each other once. (answered by ikleyn)
At the start of the 1999 NCAA men's basketball tournament, 64 teams were invited to... (answered by stanbon)
At the start of the 1999 NCAA men's basketball tournament, 64 teams were invited to... (answered by stanbon)