Algebra I.3.A.07 - Exponential Decay – Exit Ticket

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A huge ping-pong tournament is held in Beijing, with 65,536 participants at the start of the tournament. Each round of the tournament eliminates half the participants.

If p(r) represents the number of participants remaining after r rounds of play, write a formula to model the number of participants remaining.

Use your model to determine how many participants remain after 10 rounds of play.

How many rounds of play will it take to determine the champion ping-pong player?

From EngageNY.org of the New York State Education Department. High School 1 Algebra, Module 3, Topic A, Lesson 7. Internet. Available from https://www.engageny.org/resource/algebra-i-module...; accessed 28/Oct/2015.