Week 2 discussion

# Week 2 discussion - The NCAA basketball Mens tournament use...

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The NCAA basketball Men’s tournament use to be made up of 64 teams, In this example I will demonstrate how many rounds it took to reach the final round of the tournament. This function models exponential decay, and represents a exponential function because the change that occurs when an original amount is reduced by a consistent rate over a period of time. The number of teams playing at each round is half of the number of teams playing in the previous round.
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Unformatted text preview: At each round of the tournament, teams play against one another with only the winning teams progressing to the next round. Credit 1 2 3 4 5 Number of teams left playing at end of round: 32 16 8 4 2 Pattern: 64/2 1 64/2 2 64/2 3 64/2 4 64/2 5 Using the decay formula we have f = a (1 - r ) x where a = 64 (star±ng with 64 teams), and r = 50%, since the number of teams are cut in half each round....
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