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Sagot :
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.
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.
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