standard_description: Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
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?


aligns: no