Question

1024 players in a tennis tournament in each round half the players are eliminated which function can be used to find the number of players remaining in the tournament at the end of x rounds

Answer 1

Option B. 1024(0.5)^x

Explanation:

From the question given, we were told that half (1/2) the players are eliminated at the end of each round.

If T is the total number players, then after round one it becomes:

T x (1/2)^1 = T x 0.5

After round x, the the numbers of player remaining will be:

T x (1/2)^x = T x (0.5)^x

From the question given, the total number of players are 1024. Therefore, the above expression can be written as:

T x (0.5)^x => 1024(0.5)^x