To calculate Conor's total cost for a movie ticket including the amusement tax, we can use the expression you provided.
Given:
- Ticket price \( t = 11.50 \)
- Amusement tax is 15%, which can be represented as \( 0.15t \)
The total cost can be calculated using the first expression you provided:
\[ \text{Total Cost} = t + 0.15t \]
This can be simplified to:
\[ \text{Total Cost} = (1 + 0.15)t = 1.15t \]
Now, substituting \( t = 11.50 \) into the equation:
\[ \text{Total Cost} = 1.15 \times 11.50 \]
Calculating this:
\[ \text{Total Cost} = 1.15 \times 11.50 = 13.225 \]
Now, rounding to the nearest penny:
\[ \text{Total Cost} \approx 13.23 \]
Thus, Conor’s total cost for the movie ticket is $13.23.