Question

Your sister is using your credit card to buy tickets on TicketBoss for a Taylor Quick concert. There is a $5.00 transaction fee with each order and tickets cost $55.00.
a) Write a function to describe the situation. Show Your Work

Answer 1

b) Evaluate the total cost function if your sister decides to buy seven tickets in a single transaction. Show your work

c) Your credit card statement shows $225.00 transaction from TicketBoss. How tickets did your sister buy? Show your work

Answer 2

Let's represent the number of tickets purchased as "x". The cost of each ticket is $55.00 and there is a $5.00 transaction fee with each order.

Therefore, the total cost of x tickets can be calculated using the following function:

Total cost = (cost per ticket * number of tickets) + (transaction fee * number of tickets)

Using this formula, we can write the function to describe the situation:

Total cost = (55 * x) + (5 * x)

Simplifying this expression, we get:

Total cost = 60x

So, the function to describe the situation is:

f(x) = 60x

Answer 3

b) To evaluate the total cost function for seven tickets in a single transaction, we substitute x = 7 into the equation:

Total cost = 60 * x
Total cost = 60 * 7
Total cost = 420

Therefore, if your sister buys seven tickets in a single transaction, the total cost would be $420.00.

c) To determine how many tickets your sister bought based on the $225.00 transaction shown on your credit card statement, we need to solve the equation:

Total cost = 60 * x
225 = 60 * x

To isolate x, we divide both sides of the equation by 60:

x = 225 / 60
x ≈ 3.75

Since the number of tickets must be a whole number, we know that your sister bought either 3 or 4 tickets.