Final answer:
The function to model the size of Sabrina's trading card collection is C(n) = 12n + 274, where n represents the number of 12-card packages she buys, and 274 is the initial number of cards.
Step-by-step explanation:
The question asks us to write a function to model the size of Sabrina's trading card collection. Sabrina collects trading cards and buys them in packages containing 12 cards each.
She already has a total of 274 cards in her collection. To model the collection size, let's introduce a variable n to represent the number of packages Sabrina buys.
Each package has 12 cards, so if she buys n packages, she will get 12n cards from those packages.
However, we need to include the 274 cards she already has in her collection.
The function to model the size of Sabrina's collection C(n) can be written as: C(n) = 12n + 274
Here, C(n) represents the total number of cards in Sabrina's collection after buying n packages, and 274 is the number of cards she started with before purchasing any new packages.