To calculate the total bill for Lucas, we need to follow these steps: calculate the sales tax, calculate the tip, and then sum everything up.
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Calculate the sales tax: \[ \text{Sales tax} = \text{Bill} \times \text{Sales tax rate} \] \[ \text{Sales tax} = 189.99 \times 0.0875 = 16.612375 \] Rounding to two decimal places, the sales tax is: \[ \text{Sales tax} \approx 16.61 \]
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Calculate the tip: Since the tip is based on the pre-tax amount, we use the bill amount before tax: \[ \text{Tip} = \text{Bill} \times \text{Tip rate} \] \[ \text{Tip} = 189.99 \times 0.15 = 28.4985 \] Rounding to two decimal places, the tip is: \[ \text{Tip} \approx 28.50 \]
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Calculate the total bill: Now we add the original bill, the sales tax, and the tip: \[ \text{Total bill} = \text{Bill} + \text{Sales tax} + \text{Tip} \] \[ \text{Total bill} = 189.99 + 16.61 + 28.50 \] \[ \text{Total bill} = 189.99 + 16.61 = 206.60 \] \[ \text{Total bill} = 206.60 + 28.50 = 235.10 \]
Therefore, the total bill, including tax and tip, is: \[ \boxed{235.10} \]