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