To find the possible value of t, we need to consider the total cost of the movie ticket, including the amusement tax.
Let's assume the value of t is x dollars.
The amusement tax on each ticket is 15% of x, which is 0.15x.
So, the total cost of the movie ticket, including the amusement tax, is x + 0.15x = 1.15x dollars.
We are given that the total cost of the movie is greater than $17.50 and less than $20.
Therefore, we have the inequality:
17.50 < 1.15x < 20
To solve this inequality, we can divide all parts of it by 1.15:
17.50/1.15 < x < 20/1.15
15.22 < x < 17.39
Therefore, the value of t (x) could be any value between 15.22 and 17.39 dollars to make Conor's total cost to see the movie possible.
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.
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
3 answers
thats wrong
Apologies for the incorrect response. Let me reevaluate the problem.
We are given that the total cost to see the movie is greater than $17.50 and less than $20, including the 15% amusement tax.
Let's assume the ticket price before the tax is t dollars.
The amusement tax on each ticket is 15% of t, which is 0.15t.
So, the total cost of the movie ticket, including the amusement tax, is t + 0.15t = 1.15t dollars.
We know that the total cost is greater than $17.50 and less than $20, so we can set up the following inequality:
17.50 < 1.15t < 20
To solve this inequality, we can divide all parts by 1.15:
15.217391 < t < 17.391304
Therefore, the value of t (the ticket price before tax) could be any value between approximately $15.22 and $17.39 to make Conor's total cost to see the movie possible.
We are given that the total cost to see the movie is greater than $17.50 and less than $20, including the 15% amusement tax.
Let's assume the ticket price before the tax is t dollars.
The amusement tax on each ticket is 15% of t, which is 0.15t.
So, the total cost of the movie ticket, including the amusement tax, is t + 0.15t = 1.15t dollars.
We know that the total cost is greater than $17.50 and less than $20, so we can set up the following inequality:
17.50 < 1.15t < 20
To solve this inequality, we can divide all parts by 1.15:
15.217391 < t < 17.391304
Therefore, the value of t (the ticket price before tax) could be any value between approximately $15.22 and $17.39 to make Conor's total cost to see the movie possible.