Question 1 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. a. Conor buys a ticket to see a movie. Write two expressions in terms of t showing his total cost.

Answer 1

To calculate the total cost of Conor's movie ticket including the amusement tax, we need to take into account the ticket price \( t \) and the 15% amusement tax on that ticket.

1. Cost of the ticket without tax: This is simply \( t \).
2. Amount of tax on the ticket: This can be calculated as 15% of \( t \), which is \( 0.15t \).

To find the total cost, we add the original ticket price and the tax amount:

\[ \text{Total Cost} = \text{Cost of ticket} + \text{Tax} = t + 0.15t \]

This can also be expressed as:

\[ \text{Total Cost} = 1t + 0.15t = 1.15t \]

Thus, the two expressions showing Conor's total cost in terms of \( t \) are:

1. \( t + 0.15t \)
2. \( 1.15t \)

Answer 2

where did you get 1.15 from?

Answer 3

The figure 1.15 comes from adding the original ticket price and the amusement tax.

Here's a breakdown:

1. The original cost of the ticket is \( t \).

2. The amusement tax is 15% of \( t \), which can be calculated as:

   \[ 0.15 \times t = 0.15t \]

3. To find the total cost including the tax, we sum the ticket price and the tax amount:

   \[ \text{Total Cost} = t + 0.15t \]

   This expression can be simplified by factoring out \( t \):

   \[ \text{Total Cost} = (1 + 0.15)t = 1.15t \]

Thus, \( 1.15 \) represents the total cost factor when the tax is included, where 1 corresponds to the original ticket price and 0.15 corresponds to the tax. So, \( 1 + 0.15 = 1.15 \).

Answer 4

how did you get 2 and dont do a long explenation just tell me

Answer 5

I mistakenly mentioned "2" in the context of providing two expressions. The expressions are:

1. \( t + 0.15t \)
2. \( 1.15t \)

There were no separate "two" calculations; just two ways to express the total cost. My apologies for any confusion!