Question

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 1

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