A ticket service is selling tickets to a concert. An order of 4 tickets has a price of $63 and an order of 6 tickets has a price of $92. Write an equation to find the price of any amount of tickets.

x = Number of tickets for the concert

y = Price of the order of x tickets

y = 14.5x + 5

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Order of 4 tickets has a price of $63

Order of 6 tickets has a price of $92

2. Write an equation to find the price of any amount of tickets.

Let's find out the price of a ticket to understand if there's a service fee and how much is it, this way:

Price of a ticket = (Order of 6 tickets - Order of 4 tickets) / 2

Price of a ticket = (92 - 63) / 2

Price of a ticket = 29/2 = 14.50

If a ticket costs $ 14.50, 4 tickets will cost $ 58 and 6 tickets will cost $ 87, therefore there is a service or delivery fee of $ 5.

Order of 4 tickets - Price of 4 tickets = Service or delivery fee

Replacing, we have:

63 - 58 = 5

Order of 6 tickets - Price of 6 tickets = Service or delivery fee

Replacing, we have:

92 - 87 = 5

Now, we can write the equation to find the price of an order of any amount of tickets, this way:

x = Number of tickets for the concert

y = Price of the order of x tickets

y = 14.5x + 5