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.
+2
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.
+2
c. Suppose that Conor’s total cost to see the movie is $18.40 What is the value of t to make that possible?
+2
a. The first expression would be t + 0.15t, which represents the cost of the ticket plus the 15% amusement tax. The second expression would be 1.15t, which represents the total cost with the tax included.
b. Using the first expression, the total cost would be 11.5 + 0.15 * 11.5 = 11.5 + 1.725 = 13.225. Rounded to the nearest penny, Conor's total cost would be $13.23.
c. Setting up the equation 1.15t = 18.40, we can solve for t. Dividing both sides by 1.15 gives us t = 18.40 / 1.15 = 16.00. Therefore, t would need to be $16.00 for Conor's total cost to be $18.40.