To calculate your gross pay including tips for working 10 hours and delivering 3 pizzas per hour, we can break it down into two parts: your base pay and your tips.
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Base Pay: You earn $5.75 per hour. If you work for 10 hours, your base pay would be:
\[ \text{Base Pay} = \text{Hourly Rate} \times \text{Hours Worked} = 5.75 , \text{USD/hr} \times 10 , \text{hours} = 57.50 , \text{USD} \]
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Tips: You earn $1.50 per pizza delivered, and you deliver 3 pizzas per hour. In 10 hours, you will deliver:
\[ \text{Total Pizzas Delivered} = \text{Pizzas per Hour} \times \text{Hours Worked} = 3 , \text{pizzas/hr} \times 10 , \text{hours} = 30 , \text{pizzas} \]
The total tips earned would be:
\[ \text{Total Tips} = \text{Tip per Pizza} \times \text{Total Pizzas Delivered} = 1.50 , \text{USD/pizza} \times 30 , \text{pizzas} = 45.00 , \text{USD} \]
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Gross Pay: Now, combine the base pay and tips to find your gross pay:
\[ \text{Gross Pay} = \text{Base Pay} + \text{Total Tips} = 57.50 , \text{USD} + 45.00 , \text{USD} = 102.50 , \text{USD} \]
Therefore, your gross pay including tips for 10 hours of work is $102.50.