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

Question 367

Multiple Choice

Solve the problem.
-The cost to buy tickets online for a dance show is $60\$ 60 per ticket, that is, the cost function is C(x) =C ( x ) = 60x60 x for xx tickets to the show. There is a sales tax of 4.5%4.5 \% and a processing fee of $7\$ 7 for a group of tickets, that is, T(x) =1.045x+7T ( x ) = 1.045 x + 7 is the total cost for xx dollars spent on tickets.
(a) Find (TC) (x) ( T \circ C ) ( x )
(b) Find (TC) (7) ( T \circ C ) ( 7 ) and interpret its meaning in the context of the problem.


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

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