Math Problem Statement
Solution
The question asks for the expression that represents just the overtime hours worked. Here's how we can break it down:
- The total hours worked is given as .
- Regular work is for up to 5 hours, so any hours beyond 5 are considered overtime.
- Therefore, the number of overtime hours is , provided that .
Final Answer:
The expression for the overtime hours is:
Would you like me to explain this further or solve any additional parts of the question? Let me know!
Here are 5 related questions for practice:
- If someone worked 8 hours, how many overtime hours would they have worked?
- What would the total payment be if total hours worked?
- If the company increases overtime pay to $40/hour, how would the overtime cost expression change?
- How can you write the total pay expression for both regular and overtime hours combined?
- What happens if someone works exactly 5 hours—how many overtime hours would they have?
Quick Tip:
Always identify the breakpoint in word problems like these (in this case, 5 hours). This will help you clearly separate the scenarios and write the correct expressions!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Expressions
Piecewise Functions
Formulas
Overtime hours = Total hours - 5 (if Total hours > 5)
Theorems
Linear relationships in algebra
Suitable Grade Level
Grades 7-9
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