Question

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.
b. Choose a value for "t" which is $11.50. Use one of the expressions you wrote in part a to find Conor’s total cost, rounded to the nearest penny. Show your work.

1:t + 0.15t
2:1.15

Answer 1

To find Conor's total cost for a movie ticket including the amusement tax, we can use one of the expressions you provided.

Let's first determine the total cost using the ticket price \( t \) and the tax.

Given:
- Ticket price ( \( t \) ): $11.50
- Amusement tax: 15%

The total cost can be calculated using the expression:

1. \( t + 0.15t \)

This can be simplified to:
\[
t(1 + 0.15) = t \times 1.15
\]

Now, substituting \( t = 11.50 \) into the equation:

\[
\text{Total Cost} = 1.15 \times 11.50
\]

Calculating this:

\[
1.15 \times 11.50 = 13.225
\]

Now, rounding \( 13.225 \) to the nearest penny gives us \( 13.23 \).

Thus, Conor’s total cost for the movie ticket, including tax, is **$13.23**.