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.
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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.
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c. Suppose that Conor’s total cost to see the movie is $18.40 What is the value of t to make that possible?
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give the real answer
a. The two expressions in terms of t showing Conor's total cost are:
Expression 1: t + 0.15t
This expression represents the ticket cost and the amusement tax added to it.
Expression 2: 1.15t
This expression simplifies expression 1 by combining the terms.
b. Using Expression 2 with t = $11.50:
Total cost = 1.15 * 11.50 = $13.23
Conor's total cost, rounded to the nearest penny, is $13.23.
c. We can set up an equation using Expression 2 and the given total cost:
1.15t = 18.40
To solve for t, divide both sides of the equation by 1.15:
t = 18.40 / 1.15 = $16.00
The value of t to make Conor's total cost $18.40 is $16.00.