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Rob works for [tex]\$8.00[/tex] per hour. His regular hours are 40 hours per week, and he gets time-and-a-half for any hours worked over 40 in a week. This week, he works 50 hours. He wants to calculate his pay.



\[

\begin{tabular}{|c|c|c|c|}

\hline

\textbf{Rate} & \textbf{Regular Hours} & \textbf{Overtime Hours} & \textbf{Total} \\

\hline

\$8.00 & 40 & 10 & \$ \\

\hline

\end{tabular}

\]



Calculate Rob's gross pay for the week, considering his overtime rate is 1.5 times his regular rate.

Answer :

- Calculate the overtime rate: $8.00 \times 1.5 = $12.00$.
- Calculate the overtime hours: $50 - 40 = 10$ hours.
- Calculate the regular pay: $40 \times $8.00 = $320.00$.
- Calculate the overtime pay and gross pay: $10 \times $12.00 = $120.00$, so the final answer is $\boxed{$440.00}$.

### Explanation
1. Calculate Overtime Rate
First, we need to determine the overtime rate. Since Rob gets time-and-a-half for overtime, we multiply his regular hourly rate by 1.5: $$Overtime Rate = $8.00 \times 1.5 = $12.00$$.

2. Calculate Overtime Hours
Next, we calculate the number of overtime hours Rob worked. He worked 50 hours in total, and his regular hours are 40, so: $$Overtime Hours = 50 - 40 = 10 \text{ hours}$$.

3. Calculate Regular Pay
Now, we calculate Rob's regular pay by multiplying his regular hours by his regular rate: $$Regular Pay = 40 \text{ hours} \times $8.00 \text{/hour} = $320.00$$.

4. Calculate Overtime Pay
We calculate Rob's overtime pay by multiplying his overtime hours by his overtime rate: $$Overtime Pay = 10 \text{ hours} \times $12.00 \text{/hour} = $120.00$$.

5. Calculate Gross Pay
Finally, we calculate Rob's gross pay by adding his regular pay and his overtime pay: $$Gross Pay = $320.00 + $120.00 = $440.00$$.

6. Final Answer
Therefore, Rob's gross pay for the week is $\$440.00$.

### Examples
Understanding how to calculate overtime pay is essential in many real-world jobs. For example, knowing how overtime is calculated helps employees verify their paychecks and ensures they are being compensated correctly for their extra hours. It also helps employers budget for labor costs and comply with labor laws, ensuring fair treatment and accurate compensation for their employees.

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