Math Problem Statement

he gets paid $18.60 per hour for a standard 35-hour week. Additional hours are paid in bobble time. Time table: Monday p: in 8:30am out 4:30 pm. Tuesday: in 9am out 6pm. Wednesday:in 8:45 am out5:45pm. Thursda: in 9am out 6:60pm. Friday: in 10am out8pm. A- how many hours did he work this week? B- find his weekly wage.

Solution

To solve the problem, we need to first calculate how many hours he worked for each day, total them up, and then determine his weekly wage based on his hourly rate.

A) Calculate the total hours worked this week.

Monday (In: 8:30 am, Out: 4:30 pm)

  • Total time worked = 4:30 pm - 8:30 am = 8 hours

Tuesday (In: 9:00 am, Out: 6:00 pm)

  • Total time worked = 6:00 pm - 9:00 am = 9 hours

Wednesday (In: 8:45 am, Out: 5:45 pm)

  • Total time worked = 5:45 pm - 8:45 am = 9 hours

Thursday (In: 9:00 am, Out: 6:60 pm → this is likely a typo, should be 7:00 pm)

  • Total time worked = 7:00 pm - 9:00 am = 10 hours

Friday (In: 10:00 am, Out: 8:00 pm)

  • Total time worked = 8:00 pm - 10:00 am = 10 hours

Now, let's add them up to find the total hours worked for the week:

  • Monday: 8 hours
  • Tuesday: 9 hours
  • Wednesday: 9 hours
  • Thursday: 10 hours
  • Friday: 10 hours

Total hours worked = 8 + 9 + 9 + 10 + 10 = 46 hours

B) Calculate the weekly wage.

He is paid $18.60 per hour for a standard 35-hour week. Any additional hours (beyond 35 hours) are paid as "bobble time" (which presumably is overtime, though no rate is specified, so we'll assume it's at the same hourly rate).

  1. Standard hours wage: 35hours×18.60USD/hour=651USD35 \, \text{hours} \times 18.60 \, \text{USD/hour} = 651 \, \text{USD}

  2. Overtime hours wage: He worked 46 hours in total, so the overtime hours = 4635=11hours46 - 35 = 11 \, \text{hours}.

    Overtime pay = 11hours×18.60USD/hour=204.60USD11 \, \text{hours} \times 18.60 \, \text{USD/hour} = 204.60 \, \text{USD}

  3. Total wage: 651USD+204.60USD=855.60USD651 \, \text{USD} + 204.60 \, \text{USD} = 855.60 \, \text{USD}

So, his total weekly wage is $855.60.


Do you want more details or have any questions? Here are 5 related questions to expand on this:

  1. What if the overtime rate is 1.5 times the regular rate? How does his pay change?
  2. How much does he earn annually if this is his regular schedule every week?
  3. What if he took a day off? How does that affect his weekly wage?
  4. What is the percentage of his total pay that comes from overtime hours?
  5. How many hours would he need to work to earn $1000 in a week?

Tip: Keeping track of time in hours and minutes accurately can help avoid mistakes in payroll and budgeting.

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Math Problem Analysis

Mathematical Concepts

Time calculation
Wage calculation
Overtime pay

Formulas

Total hours worked = Sum of daily hours worked
Standard wage = Standard hours × Hourly rate
Overtime hours = Total hours - Standard hours
Overtime wage = Overtime hours × Hourly rate
Total wage = Standard wage + Overtime wage

Theorems

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Suitable Grade Level

Grades 9-12