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

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.

Answer 1

To find Conor's total cost for the movie ticket, we need to calculate the total cost including the amusement tax.

1. Cost of the ticket: \( t = 11.50 \) dollars.
2. Amusement tax rate: \( 15% \) of the ticket price.

To calculate the amusement tax, we can use the formula:

\[ \text{Tax} = t \times \text{Tax rate} = t \times 0.15 \]

Substituting \( t \) with \( 11.50 \):

\[ \text{Tax} = 11.50 \times 0.15 \]

Calculating the tax:

\[ \text{Tax} = 11.50 \times 0.15 = 1.725 \]

Now, we will calculate the total cost of the ticket including the tax:

\[ \text{Total cost} = \text{Ticket price} + \text{Tax} = t + \text{Tax} \]

Substituting the values:

\[ \text{Total cost} = 11.50 + 1.725 = 13.225 \]

Now, rounding to the nearest penny:

\[ \text{Total cost} \approx 13.23 \]

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