Question

Tracie buys tickets to a concert for herself and 2 friends. There is an 8% tax on the cost of the tickets and an additional $10.00 booking fee. Write an algebraic expression to represent the cost per person. Simplify the expression, if possible. Define what the variable represents and identify the units for the expression.

Answer 1

Total number of people going to the concert = 3 (Tracie + 2 friends)

Tax = 8% on cost of tickets

Booking Fee = $10

Let base cost of each ticket be x

Algebraic Expression:

So cost per person for the concert ticket = x + (8% * x) + 10

Simplified Expression:

Cost per person for the concert ticket = (1.08 * x) + 10

The variable 'x' here represents the base cost of the ticket (excluding tax and booking fee)

The units of the expression would be $, since all are monetary values