There are 512 players in a tennis tournament. In each round, half of the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of ``

1 answer

the kth round?

The function that can be used to find the number of players remaining in the tournament at the end of the kth round is:

f(k) = 512 / 2^k

Where:
- f(k) is the number of players remaining in the tournament after k rounds
- 512 is the initial number of players in the tournament
- 2^k represents the number of players in each round, as half of the players are eliminated in each round.

For example, if we want to find out how many players are left in the tournament after 5 rounds, we would substitute k=5 into the function:

f(5) = 512 / 2^5
f(5) = 512 / 32
f(5) = 16

Therefore, after 5 rounds, there would be 16 players remaining in the tournament.