Math Problem Statement
Solution
Let’s break this problem down step by step:
Problem Breakdown:
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Regular Pay: Kevin worked 48 hours in total, but only the first 40 hours count as "regular time." His hourly pay is $9.50.
- Regular pay = .
-
Overtime Pay: Kevin worked overtime hours. Overtime is paid at .
- Overtime hourly rate = .
- Overtime pay = .
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Gross Pay: The gross pay is the sum of the regular pay and the overtime pay:
- Gross pay = Regular pay + Overtime pay.
Calculations:
- Regular pay = .
- Overtime pay = .
- Gross pay = .
Final Answers:
- Regular pay amount: $380.00
- Overtime pay: $114.00
- Gross pay: $494.00
Would you like a detailed explanation for any specific part? Let me know!
Follow-up Questions:
- How would the pay change if the overtime rate was doubled instead of 1.5 times the hourly rate?
- What would the gross pay be if Kevin worked only 40 hours with no overtime?
- How can we calculate Kevin's average hourly earnings for this week (including overtime)?
- What if Kevin worked 55 hours instead? How would the pay be affected?
- If the hourly rate increased to $12.00, how would his gross pay change for the same 48-hour week?
Tip:
Always keep track of how many hours are overtime versus regular hours, especially when different rates apply.
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Math Problem Analysis
Mathematical Concepts
Basic Arithmetic
Multiplication
Addition
Overtime Calculation
Formulas
Regular pay = Regular hours × Hourly rate
Overtime pay = Overtime hours × (1.5 × Hourly rate)
Gross pay = Regular pay + Overtime pay
Theorems
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Suitable Grade Level
Grades 6-8
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