Answer:
Option B
Step-by-step explanation:
After each round of the tournament one-fourth players are eliminated.
That means the process of elimination will represent the exponential decay.
Equation of exponential decay is given by the expression,
[tex]y=a(1-r)^n[/tex]
Here, a = Initial number of players
r = Fraction of reduction in the number of players
y = Final number of players
n = Number of rounds
In the given question,
Initial number of the players (a) = 64
Fraction of reduction in the number of players (r) = [tex]\frac{1}{4}[/tex]
= 0.25
Number of rounds (n) = 6
By substituting these values in the expression,
[tex]y=64(1-0.25)^6[/tex]
Therefore, Option B is the answer.
