Final answer:
Mr. Wonka's candy consumption is a discrete function because it involves countable whole number values, specifically 2 pieces of candy per day.
Step-by-step explanation:
The question of whether Mr. Wonka's candy consumption is a continuous or discrete function is a mathematical concept that often confuses students. In this case, since Mr. Wonka eats 2 pieces of candy per day and you cannot have a fraction of a piece of candy, his consumption is measured in whole numbers. Therefore, this is a discrete function. A discrete function involves countable values, much like the number of books purchased, or the number of cookies taken from a box. Continuous functions, on the other hand, involve variables that can take on an infinite number of values within a range, like the total amount of money spent on books or the age of individuals when rounded to the nearest year, both of which have an infinite number of possible values within their ranges.
To answer the original question, Mr. Wonka's candy eating habit is an example of a discrete function because the number of candies eaten daily is countable and there is no in-between values.