Question

The student council at a local high school is selling raffle tickets for $3 each.

The amount of money raised is
a function of the number of tickets sold.

This function is given by the equation m=3n, where n is the number of tickets sold and m is the amount of money raised.

Which set below would represent a reasonable domain for this function?

(1) {0, 1, 2, 3, ...}
(2) {0, 3, 6, 9, ...)
(3) (1.5, 3, 4.5, 6, 7.5,...}
(4) {...-2, -1, 0, 1, 2,...}

Answer 1

(1)

Explanation:

the domain here is the set of values which n can take. of course, n cannot be a negative value or a non-integer, since n is the number of tickets sold, it has to be whole numbers (since you can sell 0 tickets too, but not 1.5 or -3 tickets). that leaves us with (1) and (2). however, (2) is instead the range of the function, the values m can take. so, our final answer is (1).