A ticket to a movie cost t dollar and there is a 15% tax on each ticket.
Write an expression in terms of t to show the total cost.
show your work
The total cost of a ticket to a movie, including the tax, can be expressed as:
Total Cost = t + 0.15t
Simplifying the expression, we have:
Total Cost = 1.15t
show ur work
Sure! Let's break it down step by step:
1. The ticket price is t dollars.
2. The tax on each ticket is 15% of the ticket price. To calculate the tax, we multiply the ticket price by 0.15. So, the tax amount is 0.15t.
3. To find the total cost, we add the ticket price to the tax amount: t + 0.15t.
4. To simplify this expression, we can factor out t: t(1 + 0.15).
5. The sum of 1 and 0.15 is 1.15, so the expression simplifies to 1.15t.
Hence, the expression in terms of t to show the total cost is 1.15t, which means the total cost is 1.15 times the ticket price.
Using your expression above with t=12.50 cost of a ticket. What is the total amount? Show your work
To find the total amount using the expression 1.15t with t = 12.50, we substitute t = 12.50 into the expression:
Total amount = 1.15 * 12.50
Calculating this expression, we have:
Total amount = 14.375
Therefore, with a ticket price of $12.50, the total amount, including the tax, is $14.375.
To find the total cost with tax, we need to add the cost of the ticket to the tax amount. The tax amount can be found by multiplying the cost of the ticket by the tax rate of 15%, which is equivalent to 0.15.
The expression to calculate the total cost is:
Total Cost = Ticket Cost + Tax Amount
The Ticket Cost is represented by t, and the Tax Amount can be calculated by multiplying t by 0.15, which gives us:
Total Cost = t + 0.15t
Now, we can simplify the expression by combining the terms with t:
Total Cost = (1 + 0.15)t
Simplifying further, we have:
Total Cost = 1.15t
Therefore, the expression in terms of t to show the total cost is 1.15t.