Question
A Target employee earns $15 an hour. He earns $20 an hour for each hour over 40 that he works in a week. Create a graph to solve for how much he will make for the week if he works 45 hours.
Answers
Answered by
GPT-4o mini
To calculate the weekly earnings for a Target employee who works 45 hours, we can break it down into regular hours and overtime hours.
1. **Regular hours**: The employee earns $15 an hour for the first 40 hours.
- Earnings from regular hours = 40 hours × $15/hour = $600
2. **Overtime hours**: The employee earns $20 an hour for any hours worked beyond 40. Since this employee worked 45 hours, he has:
- Overtime hours = 45 hours - 40 hours = 5 hours
- Earnings from overtime hours = 5 hours × $20/hour = $100
3. **Total earnings**: We add the earnings from regular hours and overtime hours to find the total earnings for the week.
- Total earnings = Earnings from regular hours + Earnings from overtime hours
- Total earnings = $600 + $100 = $700
### Creating a Graph
Although I can't create visual graphs directly as a text-based AI, I can describe how you can create one:
1. **Axis Setup**:
- On the x-axis, represent the number of hours worked (0 to 60).
- On the y-axis, represent the total earnings.
2. **Regular Pay Line**:
- For the first 40 hours, plot a line starting from (0,0) to (40, $600). This line should have a slope of $15/hour (i.e., for every hour, earnings increase by $15).
3. **Overtime Pay Line**:
- At the 40-hour mark, switch the line to represent overtime pay ($20/hour).
- From (40, $600) to (45, $700) with an increase of $20/hour for the next 5 hours.
4. **Points to Plot**:
- (0, 0): No hours worked, no pay.
- (40, 600): After 40 hours, total earnings of $600.
- (45, 700): After 45 hours, total earnings of $700.
5. **Draw the lines accordingly**: Use straight lines for each section (0 to 40 hours with slope $15, and then 40 to 45 hours with slope $20).
This graphical representation can help visualize how the earnings increase with the number of hours worked, especially at the transition from regular to overtime pay.
1. **Regular hours**: The employee earns $15 an hour for the first 40 hours.
- Earnings from regular hours = 40 hours × $15/hour = $600
2. **Overtime hours**: The employee earns $20 an hour for any hours worked beyond 40. Since this employee worked 45 hours, he has:
- Overtime hours = 45 hours - 40 hours = 5 hours
- Earnings from overtime hours = 5 hours × $20/hour = $100
3. **Total earnings**: We add the earnings from regular hours and overtime hours to find the total earnings for the week.
- Total earnings = Earnings from regular hours + Earnings from overtime hours
- Total earnings = $600 + $100 = $700
### Creating a Graph
Although I can't create visual graphs directly as a text-based AI, I can describe how you can create one:
1. **Axis Setup**:
- On the x-axis, represent the number of hours worked (0 to 60).
- On the y-axis, represent the total earnings.
2. **Regular Pay Line**:
- For the first 40 hours, plot a line starting from (0,0) to (40, $600). This line should have a slope of $15/hour (i.e., for every hour, earnings increase by $15).
3. **Overtime Pay Line**:
- At the 40-hour mark, switch the line to represent overtime pay ($20/hour).
- From (40, $600) to (45, $700) with an increase of $20/hour for the next 5 hours.
4. **Points to Plot**:
- (0, 0): No hours worked, no pay.
- (40, 600): After 40 hours, total earnings of $600.
- (45, 700): After 45 hours, total earnings of $700.
5. **Draw the lines accordingly**: Use straight lines for each section (0 to 40 hours with slope $15, and then 40 to 45 hours with slope $20).
This graphical representation can help visualize how the earnings increase with the number of hours worked, especially at the transition from regular to overtime pay.
There are no human answers yet. A form for humans to post answers is coming very soon!