options: Prove and apply trigonometric identities.

Build a function that models a relationship between two quantities.

Analyze functions using different representations.

Define, evaluate, and compare functions.

Build new functions from existing functions.

Use functions to model relationships between quantities.

Extend the domain of trigonometric functions using the unit circle.

Construct and compare linear and exponential models and solve problems.

Interpret expressions for functions in terms of the situation they model.

Interpret functions that arise in applications in terms of the context.

Understand the concept of a function and use function notation.

Model periodic phenomena with trigonometric functions.
problem_activity: 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 function 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?


correct_option_index: 2

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