connor is goinning to the movie theater. a ticket costs t dollars, and there is a 15% amusement tax on each ticket.

Question

a. Connor buys a ticket to see a movie. write two expressions in terms of t showing his total cost

Answer 1

The first expression will represent the cost of the ticket before the amusement tax is applied.
It can be written as: t

The second expression will represent the total cost that includes both the ticket price and the amusement tax.
Since there is a 15% amusement tax on each ticket, the tax amount can be calculated as 0.15t.
So, the total cost can be written as: t + 0.15t = 1.15t.

Answer 2

calculate 15% to 0.15t

Answer 3

To calculate 15% of a value, you can multiply the value by 0.15.
In this case, you want to calculate 15% of t, so the calculation would be 0.15 * t.
Thus, 15% of t can be expressed as 0.15t.

Answer 4

choose a value for t greater than 12$ and less than 13$. use one of the exspressions you wrote in prat a to find connors total cost, rounded to the nearest penny. show your work

Answer 5

Let's choose a value for t as $12.50.

Using the first expression, the cost of the ticket before the amusement tax is applied is $12.50.

Using the second expression, the total cost including the amusement tax can be calculated as follows:
Total cost = 1.15 * t
= 1.15 * $12.50
= $14.375

Rounding to the nearest penny, the total cost of Connor's ticket would be $14.38.

Answer 6

suppose that Connors total cost to see the movie is greater than $17.50 and less than $20. what could be a value of t to make that possible?

Answer 7

To find a value of t that would make Connor's total cost greater than $17.50 and less than $20, we can use the second expression:

Total cost = 1.15t

To find a value within the given range, we need to solve the following inequality:

$17.50 < 1.15t < $20

Dividing through by 1.15 (the coefficient of t):

$15.22 < t < $17.39

Therefore, a possible value for t would be any value within the range of $15.22 to $17.39.