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

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.