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 + 0.15%t
2:1.15

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 hours ago

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.