Question

Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered?

Answer 1

Cost=flatfee+changingfee
flatfee=5.50
changingfee=costperticket times number of tickets

we know that 5 times cost per ticket=108
divide by 5
cost per ticket=21.6
c=number of tickets

totalcost=5.5+21.6c
TC=21.6c+5.5

Answer 2

Let

c--------> the total cost

x------> the number of tickets

z------> the cost of one ticket without service fee

we know that

$108=5.50+5z$

solve for z

combine like terms

$5z=108-5.50$

$5z=102.50$

$z=\ 20.50$

The linear function is equal to

$c=5.50+20.50x$

therefore

the answer is

$c=5.50+20.50x$