Question

A school held a tennis tournament.After each round,one-forth of the players were eliminated.If there were 64 players at the start of the tournament,which equation models the number of players left after 6 rounds?​

Answer 1

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,

$y=a(1-r)^n$

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) = $\frac{1}{4}$

                                                                             = 0.25

Number of rounds (n) = 6

By substituting these values in the expression,

$y=64(1-0.25)^6$

Therefore, Option B is the answer.