Conor is going to the movie theater. A ticket to a movie costs t dollars, and there is a 15% amusement tax on each ticket.

Question

a. Conor buys a ticket to see a movie. Write two expressions in terms of t showing his total cost.

Answer 1

To calculate the total cost of the ticket including the amusement tax, we can break it down into two parts:

1. The base cost of the ticket: \( t \)
2. The amusement tax, which is 15% of the ticket price: \( 0.15t \)

Now, to find the total cost that Conor has to pay, we can add these two expressions together:

Total Cost \( = \) (Base Cost) \( + \) (Amusement Tax)
Total Cost \( = t + 0.15t \)

We can also express this total cost more simply by factoring:

Total Cost \( = t(1 + 0.15) = t(1.15) \)

So, the two expressions representing Conor's total cost are:

1. \( t + 0.15t \) (adding the ticket price and the tax)
2. \( 1.15t \) (total cost as a multiple of the ticket price)