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.
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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
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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
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Cheers,
Stan H.
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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.
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