In a tennis tournament, there are 100 players. each match is played between two players. the winner advances and the loser is eliminated. assuming a minimum number of byes (games in which a player automatically advanced due to no opponent), how many matches need to be played to determine a winner?

To determine the winner is necessary to played 99 matches

Step-by-step explanation:

For determined the number of match, we are going to divide the game in rounds, every round is when every player plays with another and one advance and the other loses. That means that every round, the number of players is reduced to the half approximately. So:

Finally the number of matches that need to be played to determine the winner is the sum of matches that we can form in every round. That is:

50+25+12+6+3+2+1=99

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers