Question

The earnings for Employee 1 and Employee 2 are displayed in the following graphs. Which employee earns more per hour?

Answer 1

Use similar triangles to determine the slope of the line.

Answer 2

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.

Answer 3

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.