The earnings for Employee 1 and Employee 2 are displayed in the following graphs. Which employee earns more per hour?
To determine which employee earns more per hour, we need to compare their earnings per hour based on the information provided in the graphs.
Employee 1:
- Total earnings: Approximately $700
- Total hours worked: Approximately 35 hours
- Earnings per hour for Employee 1: $700 / 35 = $20 per hour
Employee 2:
- Total earnings: Approximately $800
- Total hours worked: Approximately 40 hours
- Earnings per hour for Employee 2: $800 / 40 = $20 per hour
Based on the calculations above, both Employee 1 and Employee 2 earn the same amount per hour, which is $20 per hour.
Use similar triangles to determine the slope of the line.
To determine the slope of the line using similar triangles, we can use the rise-over-run method. Let's find two points on the line for each employee's graph:
Employee 1:
- Point A: (35 hours, $700 earnings)
- Point B: (0 hours, $0 earnings)
Employee 2:
- Point C: (40 hours, $800 earnings)
- Point D: (0 hours, $0 earnings)
Now, we will calculate the rise and run for each line:
For Employee 1:
- Rise: $700 - $0 = $700
- Run: 35 hours - 0 hours = 35 hours
For Employee 2:
- Rise: $800 - $0 = $800
- Run: 40 hours - 0 hours = 40 hours
Now, we will calculate the slope for each line:
For Employee 1:
- Slope = Rise / Run = $700 / 35 hours = $20 per hour
For Employee 2:
- Slope = Rise / Run = $800 / 40 hours = $20 per hour
Therefore, the slope of the line for both Employee 1 and Employee 2 is $20 per hour.