To determine how much Charlie will pay in total, we need to break down the costs in a step-by-step manner:
1. Ticket Price:
- Charlie bought a ticket for [tex]$288.00$[/tex].
2. Tax Calculation:
- The tax rate on the ticket is [tex]\(7.5\%\)[/tex] (which is equivalent to [tex]\(\frac{7.5}{100} = 0.075\)[/tex]).
- Calculate the tax amount: [tex]\(288 \times 0.075 = 21.60\)[/tex]
3. Additional Fees:
- He also had to pay an additional [tex]$26.00 in fees.
4. Total Payment:
- Add the ticket price, the calculated tax amount, and the additional fees to find out the total amount Charlie will pay.
- Total payment = \(288.00 + 21.60 + 26.00 = 335.60\)
Looking at the provided options, the correct one should reflect this calculation process:
1. First Option: \(288+(288 \div 0.075)-26\)
- This option is incorrect because \( \div \) indicates division, which does not represent the tax calculation correctly.
2. Second Option: \(288-(288 \div 0.075)+26\)
- This option is incorrect for the same reason as above.
3. Third Option: \(288+(288 \times 0.075)+26\)
- This option is correct. It correctly calculates the tax by multiplying \(288\) by \(0.075\) and then adds the additional fees.
4. Fourth Option: \(288-(288 \times 0.075)+26\)
- This option is incorrect because it subtracts the tax amount instead of adding it.
Conclusion: The third option, \(288+(288 \times 0.075)+26\), correctly shows how much Charlie will pay in total, which is \(\$[/tex] 335.60\).
