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

108-5.50=102.50 102.50÷5= $20.50

Explanation:

c=20.50 x=5

Answer 2

c(x)=5.50+20.50x

Explanation:

The equation format we need is: c(x) = (service cost) + (individual ticket cost) x

c = total cost

x = the # of tickets ordered

We already know the service cost =$5.50

Now we need to get the cost of each individual ticket.

We subtract the service cost from the total cost of ordering 5 tickets:

$108 - $5.50 = $102.50

The total price of 5 tickets is $102.50.

To get the individual ticket price we now divide by 5:

$174.50/5 = $20.5

Fill in these answers into the equation:

c(x) = (service cost) + (individual ticket cost) x

c(x) = 5.50 + 20.50 x