there are 1024 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 x rounds

Answer: f (x) = 1,024 (0.50) ^x

Step-by-step explanation:

Hi, to answer this question we have to apply a decreasing rate formula:

f (x) = P (1 - r) ^x

Where:

p = original number of players

r = decreasing rate (decimal form, since half of the players are eliminated the percent decrease is 50%)

x = rounds

f (x) = number of players after x rounds

Replacing with the values given:

f (x) = 1,024 (1-50/100) ^x

f (x) = 1,024 (1-0.5) ^x

f (x) = 1,024 (0.5) ^x