Math Problem Statement

what would my pay check look like when I work 50 7 a hour

Solution

To calculate your paycheck for working 50 hours at $7 per hour, we can break it down like this:

  1. Regular pay: If your job does not involve overtime, you will earn $7 for each of the 50 hours worked. 50hours×7dollars per hour=350dollars50 \, \text{hours} \times 7 \, \text{dollars per hour} = 350 \, \text{dollars}

    Therefore, your paycheck would be $350.

However, if you work more than 40 hours and are eligible for overtime pay, overtime is usually paid at 1.5 times the regular hourly rate. Here's how you would calculate that:

  1. Overtime pay:

    • Regular pay for the first 40 hours: 40hours×7dollars per hour=280dollars40 \, \text{hours} \times 7 \, \text{dollars per hour} = 280 \, \text{dollars}
    • Overtime pay for the extra 10 hours (1.5 times the regular rate): 10hours×(7×1.5)dollars per hour=10hours×10.5dollars per hour=105dollars10 \, \text{hours} \times (7 \times 1.5) \, \text{dollars per hour} = 10 \, \text{hours} \times 10.5 \, \text{dollars per hour} = 105 \, \text{dollars}

    Adding the regular and overtime pay: 280dollars+105dollars=385dollars280 \, \text{dollars} + 105 \, \text{dollars} = 385 \, \text{dollars} Your paycheck with overtime would be $385.

Do you want more details or have any questions about this calculation?

Here are 5 follow-up questions:

  1. What is the difference between regular and overtime pay?
  2. How does the overtime rate of 1.5x affect the overall earnings for additional hours?
  3. What would happen to the paycheck if you worked 60 hours instead?
  4. How does tax deduction affect the final take-home pay?
  5. Can overtime rates vary depending on the job or location?

Tip: Always check with your employer about overtime policies, as some jobs may offer different overtime rates or conditions.

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Math Problem Analysis

Mathematical Concepts

Basic Arithmetic
Overtime Pay Calculation

Formulas

Regular pay: hours worked × hourly rate
Overtime pay: (hours worked beyond 40) × (1.5 × hourly rate)

Theorems

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Suitable Grade Level

Grades 6-8