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The problem states:

"Ingrid works as a medical receptionist at a rate of $11.82 per hour. She regularly works 35 hours per week, but her clinic wants to increase her work week to 42 hours. She agrees to do this if they will pay her overtime, at time and a half, for the extra hours. If they agree to pay this amount, what will her weekly pay be?"

Let's break this down step by step:

1. **Regular weekly pay**:
   Ingrid works 35 hours per week at a regular rate of $11.82 per hour.
   \[
   \text{Regular pay} = 35 \times 11.82
   \]

2. **Overtime pay rate**:
   Overtime is paid at "time and a half," meaning 1.5 times her regular rate.
   \[
   \text{Overtime rate} = 1.5 \times 11.82 = 17.73 \, \text{per hour}
   \]

3. **Overtime hours**:
   The new work week is 42 hours, and she used to work 35 hours. Therefore, the number of overtime hours is:
   \[
   \text{Overtime hours} = 42 - 35 = 7 \, \text{hours}
   \]

4. **Overtime pay**:
   Overtime pay is calculated by multiplying the overtime hours by the overtime rate.
   \[
   \text{Overtime pay} = 7 \times 17.73
   \]

5. **Total weekly pay**:
   The total weekly pay is the sum of her regular pay and her overtime pay.
   \[
   \text{Total pay} = \text{Regular pay} + \text{Overtime pay}
   \]

I'll calculate the result now.Ingrid's total weekly pay will be **$537.81** if she agrees to work 42 hours with overtime pay.

Here's the breakdown:
- Regular pay for 35 hours: **$413.70**
- Overtime pay for 7 hours: **$124.11**

Would you like more details or have any questions? Here are some related questions for further practice:

1. What would Ingrid's weekly pay be if her hourly rate increased by 10%?
2. How many hours of overtime would Ingrid need to work to make a total of $600 a week?
3. What would be Ingrid’s pay if she worked 50 hours a week with the same overtime rate?
4. If her regular rate was reduced by $1, how would it affect her total weekly pay?
5. How much more does Ingrid earn with the 42-hour week compared to her 35-hour week?

**Tip**: Understanding overtime calculations is important when analyzing work contracts with different pay structures.

Ingrid works as a medical receptionist at a rate of $11.82/h. She regularly works 35 hours per week, but her clinic wants to increase her work week to 42 h. She agrees to do this if they will pay her overtime, at time and a half, for the extra hours. If they agree to pay this amount, what will her weekly pay be?

Learn how to calculate Ingrid's total weekly pay with overtime. Her regular rate is $11.82 per hour for 35 hours, and she agrees to work 42 hours with overtime at time and a half for the extra hours. Detailed solution included.

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