connor is goinning to the movie theater. a ticket costs t dollars, and there is a 15% amusement tax on each ticket.
a. Connor buys a ticket to see a movie. write two expressions in terms of t showing his total cost
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.
calculate 15% to 0.15t
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.
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
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.
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?
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.