Math Problem Statement

ets say you work 50 hours in one week... you should earn overtime.

The general rule for overtime is that employees are entitled to receive 1.5 times their regular wage for each hour worked over 40 in a week.

If your hourly wage is $15.00 per hour and you worked 50 hours, what is your gross pay?

(Round your answer to the nearest cent)

Solution

To calculate your gross pay, we will follow these steps:

  1. Regular Hours: The first 40 hours are paid at the regular rate of $15.00 per hour.
  2. Overtime Hours: The remaining 10 hours (50 hours worked - 40 regular hours) are paid at 1.5 times your regular hourly rate, which is $15.00 * 1.5 = $22.50 per hour.

Now, let's break it down:

Step 1: Regular pay for 40 hours

40hours×15.00per hour=600.0040 \, \text{hours} \times 15.00 \, \text{per hour} = 600.00

Step 2: Overtime pay for 10 hours

10hours×22.50per hour=225.0010 \, \text{hours} \times 22.50 \, \text{per hour} = 225.00

Step 3: Total gross pay

600.00+225.00=825.00600.00 + 225.00 = 825.00

Final Gross Pay:

Your total gross pay for the week is $825.00.

Let me know if you'd like any more details or further calculations!


Here are 5 related questions:

  1. What if the hourly wage were $20 instead of $15? How would that affect the total pay?
  2. How is overtime calculated in different countries or states?
  3. How can the concept of overtime be applied to salaried employees?
  4. What would your gross pay be if you worked 60 hours in a week?
  5. What are some ways to avoid overtime to reduce your work hours?

Tip: If you're unsure about how overtime applies in your area, check your local labor laws, as they can vary.

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Math Problem Analysis

Mathematical Concepts

Basic Arithmetic
Wage Calculation
Overtime Pay

Formulas

Gross pay = (Regular hours * Regular wage) + (Overtime hours * Overtime wage)

Theorems

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Suitable Grade Level

Grades 7-9