Andy worked the following schedule: Monday, 7 hours 42 minutes; Tuesday, 8 hours 23 minutes; Wednesday, 9 hours 28 minutes; Thursday, 8 hours 12 minutes; Friday, 8 hours 6 minutes. The employer pays overtime in accordance with FLSA regulations.Required:Determine the total time worked according to the (a) quarter-hour method and (b) the hundredth-hour method. Which is the more favorable method, quarter-hour or hundredth-hour?Note: Do not round intermediate calculations. Round your final answers to 2 decimal places.

We will break down the total time Andy worked for each method (a) quarter-hour and (b) hundredth-hour and determine which method is more favorable.

### Step 1: Convert the time worked each day into hours.

Given:
- Monday: 7 hours 42 minutes
- Tuesday: 8 hours 23 minutes
- Wednesday: 9 hours 28 minutes
- Thursday: 8 hours 12 minutes
- Friday: 8 hours 6 minutes

### Converting minutes into decimal hours:
- 42 minutes = \( \frac{42}{60} = 0.70 \) hours
- 23 minutes = \( \frac{23}{60} = 0.38 \) hours
- 28 minutes = \( \frac{28}{60} = 0.47 \) hours
- 12 minutes = \( \frac{12}{60} = 0.20 \) hours
- 6 minutes = \( \frac{6}{60} = 0.10 \) hours

Now, convert the workdays to decimal hours:
- Monday: 7.70 hours
- Tuesday: 8.38 hours
- Wednesday: 9.47 hours
- Thursday: 8.20 hours
- Friday: 8.10 hours

### Step 2: Apply the (a) Quarter-Hour Method
In this method, time is rounded to the nearest quarter-hour (0.25 hours). The rule is:
- 0 to 7 minutes → round down
- 8 to 15 minutes → round up to 0.25
- 16 to 22 minutes → round down
- 23 to 30 minutes → round up to 0.50, and so on.

Now, rounding each day to the nearest quarter-hour:
- Monday: 7 hours 42 minutes = 7.75 hours (since 42 minutes rounds to 45 minutes or 0.75 hours)
- Tuesday: 8 hours 23 minutes = 8.50 hours
- Wednesday: 9 hours 28 minutes = 9.50 hours
- Thursday: 8 hours 12 minutes = 8.25 hours
- Friday: 8 hours 6 minutes = 8.00 hours

Now, sum the rounded times:
- Monday: 7.75 hours
- Tuesday: 8.50 hours
- Wednesday: 9.50 hours
- Thursday: 8.25 hours
- Friday: 8.00 hours

Total time (quarter-hour method) = \( 7.75 + 8.50 + 9.50 + 8.25 + 8.00 = 42.00 \) hours

### Step 3: Apply the (b) Hundredth-Hour Method
In this method, the exact time (in decimal) is recorded without rounding. We already converted the times into decimal format:
- Monday: 7.70 hours
- Tuesday: 8.38 hours
- Wednesday: 9.47 hours
- Thursday: 8.20 hours
- Friday: 8.10 hours

Total time (hundredth-hour method) = \( 7.70 + 8.38 + 9.47 + 8.20 + 8.10 = 41.85 \) hours

### Step 4: Conclusion
- **Total time (quarter-hour method)** = 42.00 hours
- **Total time (hundredth-hour method)** = 41.85 hours

#### Which method is more favorable?
The **quarter-hour method** is more favorable to Andy because it results in a higher total time worked (42.00 hours) compared to the **hundredth-hour method** (41.85 hours).

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Would you like further clarification on any part of this? 

Here are 5 follow-up questions that might be helpful:
1. What are FLSA regulations regarding overtime pay?
2. How would these calculations affect Andy's overtime pay?
3. Can you explain how to convert hours and minutes more generally?
4. Why is rounding important in payroll calculations?
5. How would different rounding methods (e.g., half-hour) impact the total time?

**Tip:** Always double-check time calculations in payroll to ensure compliance with company policies and labor regulations.

Andy worked the following schedule: Monday, 7 hours 42 minutes; Tuesday, 8 hours 23 minutes; Wednesday, 9 hours 28 minutes; Thursday, 8 hours 12 minutes; Friday, 8 hours 6 minutes. The employer pays overtime in accordance with FLSA regulations. Required: Determine the total time worked according to the (a) quarter-hour method and (b) the hundredth-hour method. Which is the more favorable method, quarter-hour or hundredth-hour?

Learn how to calculate total work hours using the quarter-hour and hundredth-hour methods based on Andy's workweek schedule. This detailed solution explains time conversion, rounding, and helps determine which method is more favorable for payroll calculations. Suitable for high school students in Grades 9-12.

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