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Sagot :
To determine the total amount you need to pay for a restaurant bill given a tax rate and a tip percentage, we'll follow these steps:
1. Calculate the tax amount:
- The original bill amount is \[tex]$73.25. - The tax rate is \(7 \frac{1}{2} \% \) which is equivalent to 7.5%. - To find the tax amount, multiply the bill amount by the tax rate: \[ \text{Tax amount} = \$[/tex]73.25 \times \frac{7.5}{100} = \[tex]$5.49375 \] 2. Calculate the amount after adding the tax: - Add the tax amount to the original bill amount: \[ \text{Amount after tax} = \$[/tex]73.25 + \[tex]$5.49375 = \$[/tex]78.74375
\]
3. Calculate the tip amount:
- The tip rate is 15%.
- To find the tip amount, multiply the original bill amount by the tip rate:
[tex]\[ \text{Tip amount} = \$73.25 \times \frac{15}{100} = \$10.9875 \][/tex]
4. Calculate the total amount:
- Add the tip amount to the amount after tax:
[tex]\[ \text{Total amount} = \$78.74375 + \$10.9875 = \$89.73125 \][/tex]
Given these calculations, the total amount you need to pay is \[tex]$89.73125, corresponding to the nearest option: c. \$[/tex]89.73
Therefore, the correct answer is c. [tex]\( \$89.73 \)[/tex].
1. Calculate the tax amount:
- The original bill amount is \[tex]$73.25. - The tax rate is \(7 \frac{1}{2} \% \) which is equivalent to 7.5%. - To find the tax amount, multiply the bill amount by the tax rate: \[ \text{Tax amount} = \$[/tex]73.25 \times \frac{7.5}{100} = \[tex]$5.49375 \] 2. Calculate the amount after adding the tax: - Add the tax amount to the original bill amount: \[ \text{Amount after tax} = \$[/tex]73.25 + \[tex]$5.49375 = \$[/tex]78.74375
\]
3. Calculate the tip amount:
- The tip rate is 15%.
- To find the tip amount, multiply the original bill amount by the tip rate:
[tex]\[ \text{Tip amount} = \$73.25 \times \frac{15}{100} = \$10.9875 \][/tex]
4. Calculate the total amount:
- Add the tip amount to the amount after tax:
[tex]\[ \text{Total amount} = \$78.74375 + \$10.9875 = \$89.73125 \][/tex]
Given these calculations, the total amount you need to pay is \[tex]$89.73125, corresponding to the nearest option: c. \$[/tex]89.73
Therefore, the correct answer is c. [tex]\( \$89.73 \)[/tex].
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