To find the range of the values from Billy's game, we first consider the possible outcomes when rolling a 6-sided die, which are the numbers 1, 2, 3, 4, 5, and 6. Each of these numbers corresponds to a certain number of candies that a player receives.
Assuming the mapping displayed in the image shows the outputs corresponding to the numbers rolled (for example, rolling a 1 might grant 1 candy, rolling a 2 grants 3 candies, and so forth), we can list the possible outputs. Let's say the candy distribution for each roll is as follows:
- Roll 1 → 1 candy
- Roll 2 → 2 candies
- Roll 3 → 3 candies
- Roll 4 → 4 candies
- Roll 5 → 5 candies
- Roll 6 → 0 candies (or any other predetermined outcome)
The range is the set of possible outputs (the number of candies given) from rolling the die, based on the mapping provided.
Values of the range: In our assumed example, the range would consist of the values: {0, 1, 2, 3, 4, 5}.
What the range represents in terms of their game: The range represents the different quantities of candies that a player can potentially receive based on the outcome of the die roll. It reflects the variability in rewards that players can earn during the game, highlighting how much candy each roll can yield, which in turn adds excitement and unpredictability to the game.