A restaurant bill before tax is $19.34. Sales tax is 5.75% . Which amounts represent the resulting bill before and after an 18% tip is included? Calculate the tip using the bill plus sales tax. Round the sale tax and tip amounts to the nearest hundredth.(1 point)

Responses

Before tip: $20.45 

After tip: $24.13

Before tip: $20.45  After tip: $24.13

Before tip: $30.46  

After tip: $35.94

Before tip: $30.46   After tip: $35.94

Before tip: $21.20 

After tip: $25.20

Before tip: $21.20  After tip: $25.20

Before tip: $19.45 

After tip: $22.95

1 answer

To calculate the final bill including sales tax and tip, let's go through the steps one by one.

  1. Calculate Sales Tax:

    • Bill before tax: $19.34
    • Sales tax rate: 5.75%

    Sales tax = Bill before tax × Sales tax rate \[ Sales , tax = 19.34 \times 0.0575 = 1.11 \quad \text{(rounded to the nearest hundredth)} \]

  2. Calculate Total Bill Before Tip:

    • Total bill before tip = Bill before tax + Sales tax \[ Total , bill , before , tip = 19.34 + 1.11 = 20.45 \]
  3. Calculate Tip:

    • Tip rate: 18% Tip = Total bill before tip × Tip rate \[ Tip = 20.45 \times 0.18 = 3.68 \quad \text{(rounded to the nearest hundredth)} \]
  4. Calculate Total Bill After Tip:

    • Total bill after tip = Total bill before tip + Tip \[ Total , bill , after , tip = 20.45 + 3.68 = 24.13 \]

Now we have:

  • Before tip: $20.45
  • After tip: $24.13

So the correct response is:

Before tip: $20.45 After tip: $24.13