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.
b. Choose a value for t greater than $12 and less than $13. Use one of the expressions you wrote in part a to find Conor's total cost, rounded to the nearest penny. Show your work.
c. Suppose that Conor's 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?
a. The two expressions in terms of t showing Conor's total cost are:
1. Total cost including amusement tax = t + 0.15t = 1.15t dollars
2. Total cost without amusement tax = t dollars
b. Let's choose t = $12.50. Using the first expression, Conor's total cost including amusement tax would be:
Total cost including amusement tax = 1.15 * $12.50 = $14.375
Rounding to the nearest penny, Conor's total cost would be $14.38.
c. If Conor's total cost is greater than $17.50 and less than $20, let's choose a value of t = $15. Using the first expression, Conor's total cost including amusement tax would be:
Total cost including amusement tax = 1.15 * $15 = $17.25
Therefore, a value of t = $15 would make it possible for Conor's total cost to be greater than $17.50 and less than $20.