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Question 1
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 oft 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 oft to make that possible?
please help
a) Expression 1: t + 0.15t (total cost of the ticket plus amusement tax)
Expression 2: 1.15t (total cost of the ticket after adding the amusement tax)
b) Let's choose t = $12.50.
Using Expression 1, his total cost would be:
12.50 + 0.15(12.50) = 12.50 + 1.875 = $14.375
Rounded to the nearest penny, Conor's total cost would be $14.38.
c) Let's consider Expression 2 to make Conor's total cost between $17.50 and $20.
Let the total cost be $17.50:
1.15t = 17.50
t = 17.50 / 1.15
t ≈ $15.22
Let the total cost be $20:
1.15t = 20
t = 20 / 1.15
t ≈ $17.39
Therefore, a value of t between $15.22 and $17.39 would make Conor's total cost between $17.50 and $20.
can you make that answer a bit shorter
a) Expression 1: t + 0.15t
Expression 2: 1.15t
b) If t = $12.50, Conor's total cost would be $14.38.
c) A value of t between $15.22 and $17.39 would make Conor's total cost between $17.50 and $20.
can youmake
a) Expression 1: t + 0.15t (total cost of the ticket plus amusement tax)
Expression 2: 1.15t (total cost of the ticket after adding the amusement tax)
b) Let's choose t = $12.50.
Using Expression 1, his total cost would be:
12.50 + 0.15(12.50) = 12.50 + 1.875 = $14.375
Rounded to the nearest penny, Conor's total cost would be $14.38.
c) Let's consider Expression 2 to make Conor's total cost between $17.50 and $20.
Let the total cost be $17.50:
1.15t = 17.50
t = 17.50 / 1.15
t ≈ $15.22
Let the total cost be $20:
1.15t = 20
t = 20 / 1.15
t ≈ $17.39
Therefore, a value of t between $15.22 and $17.39 would make Conor's total cost between $17.50 and $20.
a little bit shorter
a) Expression 1: t + 0.15t
Expression 2: 1.15t
b) For t = $12.50, Conor's total cost is $14.38.
c) A value oft between $15.22 and $17.39 would make Conor's total cost between $17.50 and $20.