Math Problem Statement

Heather works 40 hours a week and earns $11.50 per hour. Heather earns 1.5 times her hourly pay ($11.50) for every hour after 40 hours. How much does Heather earn if she works 46 hours in one week?

Solution

To determine how much Heather earns if she works 46 hours in one week, we need to break it into two parts:

  1. Regular hours: Heather works 40 hours at her regular rate of $11.50 per hour.
  2. Overtime hours: She works 6 hours (46 - 40 = 6) as overtime, where her overtime rate is 1.5 times her regular pay.

Step-by-step calculation:

Regular pay:

Regular pay=40×11.50=460\text{Regular pay} = 40 \times 11.50 = 460

Overtime pay:

Overtime rate=1.5×11.50=17.25\text{Overtime rate} = 1.5 \times 11.50 = 17.25 Overtime pay=6×17.25=103.50\text{Overtime pay} = 6 \times 17.25 = 103.50

Total earnings:

Total earnings=460+103.50=563.50\text{Total earnings} = 460 + 103.50 = 563.50

So, Heather earns $563.50 if she works 46 hours in one week.

Would you like more details on how I calculated this or have any questions?

Related Questions:

  1. How would Heather’s total pay change if she worked 50 hours instead?
  2. What is Heather's weekly pay if she only works 35 hours?
  3. What is her overtime rate if her regular pay increases to $12.00 per hour?
  4. If Heather works 45 hours a week for 4 weeks, what is her total pay for the month?
  5. How many overtime hours would Heather need to work to earn $700 in a week?

Tip:

To quickly estimate overtime pay, remember to multiply the number of overtime hours by the increased rate, which is usually 1.5 times the regular hourly wage.

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Math Problem Analysis

Mathematical Concepts

Multiplication
Overtime Pay Calculation
Basic Arithmetic

Formulas

Regular Pay = Regular Hours × Hourly Wage
Overtime Pay = Overtime Hours × (1.5 × Hourly Wage)
Total Earnings = Regular Pay + Overtime Pay

Theorems

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Suitable Grade Level

Grades 6-8