Which of the following scenarios demonstrates an exponential decay? A. A tennis tournament in which after each round, half the players are eliminated. B. A decathlon competition in which only the first 10 move to the next competition. C. A game of basketball in which teams are ranked by the most games won the d. None of the above
Mathematics · Middle School · Thu Feb 04 2021
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A. A tennis tournament in which after each round, half the players are eliminated.
This scenario demonstrates an exponential decay because after each round, the number of players is reduced by a constant proportion (in this case, 50%). The defining characteristic of an exponential decay process is that the quantity decreases over time by a consistent percentage or factor, not by a constant subtraction. This is typical in scenarios where the rate of decline in a quantity is proportional to the current quantity itself.