To determine the total amount Charlie will pay for the airplane ticket, let's break down the problem step-by-step.
1. Ticket Price:
- The base price of the ticket is \[tex]$288.00.
2. Tax Calculation:
- The tax rate is 7.5%.
- To find the tax amount, we calculate 7.5% of \$[/tex]288.
[tex]\[
\text{Tax Amount} = \text{Ticket Price} \times \text{Tax Rate} = 288 \times 0.075
\][/tex]
From the given result, we know that the tax amount is approximately \[tex]$21.60.
3. Additional Fees:
- There is an additional fee of \$[/tex]26.00.
4. Total Amount Calculation:
- To find the total amount Charlie will pay, we need to sum the ticket price, the tax amount, and the additional fees.
[tex]\[
\text{Total Amount} = \text{Ticket Price} + \text{Tax Amount} + \text{Fees} = 288 + 21.60 + 26
\][/tex]
According to the result, the total amount Charlie pays is \[tex]$335.60.
Now, we need to determine which expression matches our steps:
- Option 1: \(288 + (288 \div 0.075) - 26\)
- This is incorrect because it divides instead of multiplying to find the tax amount.
- Option 2: \(288 - (288 \div 0.075) + 26\)
- This is incorrect for the same reason as Option 1 and also subtracts the calculated value incorrectly.
- Option 3: \(288 - (288 \times 0.075) + 26\)
- This is incorrect because it subtracts the tax amount instead of adding it.
- Option 4: \(288 + (288 \times 0.075) + 26\)
- This is correct because it correctly finds the tax amount by multiplying and then sums the ticket price, the tax, and the fees.
Thus, the correct option is:
\[
288 + (288 \times 0.075) + 26
\]
Therefore, the total amount Charlie will pay is \$[/tex]335.60.
