Question

A martial arts competition starts with a number of participants who each participate in rounds of competition. The function f(x) = 128(0.5)^x represents the number of participants remaining in the competition after x rounds. Which statement is true?

a) The competition starts with 64 participants prior to the first round and eliminates 5% of the remaining participants each round.
b) The competition starts with 64 participants prior to the first round and eliminates 5% of the remaining participants each round.
c) The competition starts with 64 participants prior to the first round and eliminates 50% of the remaining participants each round.
d) The competition starts with 128 participants prior to the first round and eliminates 5% of the remaining participants each round.

Answer 1

The correct statement is option a) The competition starts with 64 participants prior to the first round and eliminates 5% of the remaining participants each round.

Step-by-step explanation:

The function f(x) = 128(0.5)^x represents the number of participants remaining in the competition after x rounds. To determine which statement is true, we can compare the given function to the options provided.

The correct statement is option a) The competition starts with 64 participants prior to the first round and eliminates 5% of the remaining participants each round.