Question

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 1

A.

B. Write a now/next rule.

`\begin{gathered} \text{Start = 128} \\ Next\text{ = }(Now)/(2) \end{gathered}`

C. Write an explicit equation:

`y(x)=64\cdot2^(2-x)`

D. How many players remain after 5 rounds?

Evaluate the previous function for x = 5:

`y(5)=64\cdot2^(2-5)=64\cdot2^(-3)=(64)/(2^3)=(64)/(8)=8^{}`