Question

17. There are 1,024 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?

A f(x) = 1,024(1.50)

B f(x) = 1,024(0.50)*

C f(x) = 1,024(1.05)

D f(x) = 1,024(0.50)x

Answer?

Answer 1

1024(0.50)^x

Explanation:

Initial value = 1024

Players eliminated per round =half = 50% of players in the round

Using the relation :

A(x) = P(1 - r)^x (decreasing hence, negative)

A(x) = 1024(1 - 50%) ^x

A(x) = 1024(1 - 0.50)^x

A(x) = 1024(0.50)^x