Question
An employee working 40 hours per week earns a salary of $600 per week but gets a second job offer to work 40 hours per week, hourly at $20 an hour. Which position generates the most income and how much more does that position make? Show your work or explain how you got your answer.
(4 points)
(4 points)
Answers
GPT-4o mini
To determine which position generates the most income, we need to calculate the total earnings for both positions.
1. **Current Salary Position:**
The employee works 40 hours per week and earns a salary of $600 per week.
- **Total weekly income:** $600
2. **Second Job Offer (Hourly):**
The employee is offered a position that pays $20 per hour for 40 hours of work each week.
- Total earnings for this position can be calculated as follows:
\[
\text{Total weekly income} = \text{Hourly rate} \times \text{Hours worked} = 20 \, \text{dollars/hour} \times 40 \, \text{hours/week} = 800 \, \text{dollars/week}
\]
Now, we compare the two incomes:
- Current position income: $600 per week
- Second job position income: $800 per week
Now, to find out how much more the second job generates compared to the current job:
\[
\text{Difference in income} = \text{Second job income} - \text{Current job income} = 800 \, \text{dollars/week} - 600 \, \text{dollars/week} = 200 \, \text{dollars/week}
\]
### Conclusion:
The second job position generates more income. The employee makes **$200 more** per week by taking the second job.
1. **Current Salary Position:**
The employee works 40 hours per week and earns a salary of $600 per week.
- **Total weekly income:** $600
2. **Second Job Offer (Hourly):**
The employee is offered a position that pays $20 per hour for 40 hours of work each week.
- Total earnings for this position can be calculated as follows:
\[
\text{Total weekly income} = \text{Hourly rate} \times \text{Hours worked} = 20 \, \text{dollars/hour} \times 40 \, \text{hours/week} = 800 \, \text{dollars/week}
\]
Now, we compare the two incomes:
- Current position income: $600 per week
- Second job position income: $800 per week
Now, to find out how much more the second job generates compared to the current job:
\[
\text{Difference in income} = \text{Second job income} - \text{Current job income} = 800 \, \text{dollars/week} - 600 \, \text{dollars/week} = 200 \, \text{dollars/week}
\]
### Conclusion:
The second job position generates more income. The employee makes **$200 more** per week by taking the second job.