The athletics director at Peter’s school has created a message system that is used to notify team players in the event a game has to be canceled or rescheduled. The message system is initiated when the director calls two captains.

During the second stage of the message system, the captains each call two players.

During the third stage of the message system, these players each call two other players.

The message system continues until all players have been notified.

If there are 50 players on the teams, how many stages will it take to notify all of the players?

Guest Feb 22, 2021

#1**0 **

This is an exponential function

\(2^x = 50\)

\(x = \log_2{50} = 5.643\)

It takes 5 stages to notify all the players.

CubeyThePenguin Feb 22, 2021

#2**+1 **

1st stage 2 players notified

2nd stage 4 more players notified total 6

3rd stage 8 more total 14

4th stage 16 more total 30

5th stage 32 more total > 50 5 stages needed

ElectricPavlov Feb 22, 2021