Solve the Problem $\$ 60$ Per Ticket, That Is, the Cost Function Is

Multiple Choice

Solve the problem.
-The cost to buy tickets online for a dance show is $\$ 60$ per ticket, that is, the cost function is $C ( x ) =$ $60 x$ for $x$ tickets to the show. There is a sales tax of $4.5 \%$ and a processing fee of $\$ 7$ for a group of tickets, that is, $T ( x ) = 1.045 x + 7$ is the total cost for $x$ dollars spent on tickets.
(a) Find $( T \circ C ) ( x )$
(b) Find $( T \circ C ) ( 7 )$ and interpret its meaning in the context of the problem.

A) (a) $( T \circ C ) ( x ) = 62.7 x + 7$ ; (b) $( T \circ C ) ( 7 ) = 445.9$ ; The total cost to purchase 7 tickets.
B) (a) $( T \circ C ) ( x ) = 62.7 x + 7$ ; (b) $( T \circ C ) ( 7 ) = 445.9$ ; The average cost per ticket.
C) (a) $( T \circ C ) ( x ) = 62.7 x + 420$ ; (b) $( T \circ C ) ( 7 ) = 858.9$ ; The total cost to purchase 7 tickets.
D) (a) $( T \circ C ) ( x ) = 62.7 x + 420$ ; (b) $( T \circ C ) ( 7 ) = 858.9$ ; The average cost per ticket.