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1. Each year the local community center sponsors a chess tournament. Play startswith 128 participants. During each round, half of the players are eliminated.A. Make a table for the first 4 rounds.B. Write a now/next rule.C. Write an explicit equation.D. How many players remain after 5 rounds?

Answer :

A.

B. Write a now/next rule.

[tex]\begin{gathered} \text{Start = 128} \\ Next\text{ = }\frac{Now}{2} \end{gathered}[/tex]

C. Write an explicit equation:

[tex]y(x)=64\cdot2^{2-x}[/tex]

D. How many players remain after 5 rounds?

Evaluate the previous function for x = 5:

[tex]y(5)=64\cdot2^{2-5}=64\cdot2^{-3}=\frac{64}{2^3}=\frac{64}{8}=8^{}[/tex]

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