Sarah has to go to her brother's baseball tournament that lasts for 4 days. She eats two-thirds of a hotdog at every game. He plays 2 games a day. Define your variables, write a function rule, find the domain and range, and tell whether the data is discrete of continuous.
DISCRETE DATA
X: Number of Games
Y: Hot dogs she eats
Y=2/3X
D:
R:
X: Number of Games
Y: Hot dogs she eats
Function rule: Y = (2/3)X
Domain (D): The number of games Sarah's brother plays, which can be any whole number greater than or equal to 0.
Range (R): The number of hot dogs Sarah eats, which can be any real number between 0 and a maximum of (2/3) times the total number of games her brother plays.
The function rule you provided is Y = (2/3)X, where X represents the number of games and Y represents the number of hotdogs Sarah eats.
The domain (D) represents the set of all possible input values for X in the function rule. In this case, the number of games Sarah's brother plays each day can vary. If we assume Sarah's brother always plays 2 games a day for 4 days, then the domain would be {1, 2, 3, 4}.
The range (R) represents the set of all possible output values for Y in the function rule. Since each game corresponds to Sarah eating two-thirds of a hotdog, the range would be {2/3, 4/3, 2, 8/3, 10/3, 4, 14/3, 16/3}.
Since the number of games and the amount of hotdogs Sarah eats are countable and distinct values, the data in this scenario is considered discrete.