Question

Tickets to the 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

c= 20.5x+5.5

Explanation:

Let us assume that the price per ticket for the 5 ticket purchase is x.

Then by the condition, ticket price plus a service fee of $5.50 will be $108.00 as the total cost.

Hence, 5x+5.5 =108, ⇒ 5x= 102.5, ⇒x= 20.5

So, the cost per ticket will be $20.5.

If the total cost is c and x number of tickets are purchased, then the linear function which represents the relation between c and x will be,

c = 20.5x +5.5 (Answer)