Select the correct answer.
Pat and Quentin collect trading cards. They each began the year with cards already in their collection and buy more cards every month.
The number of cards in Pat’s collection, x months after the start of the year, is modeled by function p:
p(x) = 34 + 16x.
The number of cards in Quentin’s collection, x months after the start of the year, is modeled by function q:
q(x) = 28 + 12x.
Which function correctly represents how many more cards Pat has in her collection than Quentin has in his collection, x months after the start of the year?
A.
(p − q)(x) = 62 + 4x
B.
(p − q)(x) = 6 + 4x
C.
(p − q)(x) = 6 + 28x
D.
(p − q)(x) = 62 + 28x