To figure out how much Charlie will pay in total, let's break down the problem step by step.
1. Calculate the tax amount:
- We know that the tax rate is [tex]\( 7.5\% \)[/tex].
- We can convert this percentage to a decimal: [tex]\( 7.5\% = 0.075 \)[/tex].
- The price of the ticket is [tex]\( \$ 288.00 \)[/tex].
- To find the tax amount, multiply the ticket price by the tax rate:
[tex]\[
\text{Tax amount} = 288.00 \times 0.075 = 21.60
\][/tex]
2. Adding the tax to the initial ticket price:
- The ticket price is [tex]\( \$ 288.00 \)[/tex].
- The calculated tax amount is [tex]\( \$ 21.60 \)[/tex].
- Adding these together gives the subtotal before fees:
[tex]\[
\text{Subtotal} = 288.00 + 21.60 = 309.60
\][/tex]
3. Include the additional fees:
- The additional fees are [tex]\( \$ 26.00 \)[/tex].
- Adding these fees to the subtotal gives the total amount Charlie needs to pay:
[tex]\[
\text{Total payment} = 309.60 + 26.00 = 335.60
\][/tex]
Thus, the total amount Charlie will pay is [tex]\( \$ 335.60 \)[/tex].
Now, let's identify the correct formula from the given options:
1. [tex]\( 288 - (288 \times 0.075) + 26 \)[/tex]
- This incorrectly subtracts the tax instead of adding it.
2. [tex]\( 288 + (888 \times 0.075) + 26 \)[/tex]
- This uses an incorrect ticket price (\[tex]$888 instead of \$[/tex]288).
3. [tex]\( 288 + (288 \div 0.075) - 26 \)[/tex]
- This is a wrong operation (division instead of multiplication).
4. [tex]\( 288 - (288 \div 0.075) + 26 \)[/tex]
- This again incorrectly subtracts a wrong operation (division instead of multiplication).
None of the provided formulas seem correct. However, based on our calculations:
- The correct formula should be:
[tex]\[
288 + (288 \times 0.075) + 26
\][/tex]
To answer the question with our calculations:
- The total amount Charlie will pay is [tex]\( \$ 335.60 \)[/tex].
