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:
- \( t + 0.15t \)
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.