Final answer:
Mark's equation for the purchase of e-books with a gift card is C = 2.75B, where B is the number of books, and C is the total cost. He can download up to 12 e-books, making the domain {0, 1, 2, ..., 12} and the range {0, 2.75, 5.50, ..., 33.00}.
Step-by-step explanation:
The subject in question involves the relationship between Mark's budget on his gift card, the cost of each e-book, and the number of e-books he can download. Given Mark has a $33 gift card and each e-book costs $2.75, we can establish an equation C = 2.75B, where B is the number of e-books, and C is the total cost. To determine how many e-books Mark can download, we divide his total available funds by the price per book, leading to a result of 33 / 2.75, which equals 12. Therefore, Mark can download a maximum of 12 e-books with his gift card.
The domain in this context refers to the possible values for B, the number of books Mark can buy. Since Mark cannot buy a fraction of a book and he has enough money to buy up to 12 books, the domain is {0, 1, 2, ..., 12}. The range refers to the possible total costs C, which are multiples of $2.75. Hence, the range is {0, 2.75, 5.50, ..., 33.00}.