Final answer:
The domain of the function, which represents the total cost of raffle tickets Abigail can buy with $16, is all the whole number values of x from 0 up to 5, since each ticket costs $3 and she cannot purchase a fraction of a ticket.
Step-by-step explanation:
The question being asked is about the domain of a function that represents the total cost of raffle tickets Abigail can buy at a school carnival. Since each raffle ticket costs $3, the function for the total cost f(x) is given by f(x) = 3x, where x is the number of raffle tickets bought. Abigail brought $16 to spend, so the maximum number of tickets she can buy is determined by dividing $16 by the cost per ticket, which is $3.
The domain of this function will be all the values that x can take such that the cost does not exceed $16. Mathematically, this can be found by solving the inequality 3x ≤ 16. Dividing both sides by 3, we get x ≤ 5.33. However, since Abigail cannot buy a fraction of a ticket, we only consider whole number values for x. Therefore, the domain of the function in this context is {0, 1, 2, 3, 4, 5}.