A ticket to a movie costs t dollars, and there is a 15% amusement tax on each ticket. Conor buys a ticket to see a movie. Write two expressions in terms of t showing his total cost. 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. 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?
Expression 1: t + 0.15t
Expression 2: 1.15t
To find Conor's total cost, let's assume t = $12.50
Total cost = 1.15(12.50) = $14.37 (rounded to the nearest penny)
To find a value of t to make Conor's total cost between $17.50 and $20, we can set up the following inequality:
17.50 < 1.15t < 20
15.22 < t < 17.39
Therefore, a possible value for t could be between $15.22 and $17.39.