Question

Employee 1 (0,0) (2,25) (4,50) (6,75)
Employee 2 (0,0) (1,15) (3,45) (5,75)

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

Answer 1

To determine which employee earns more per hour, we'll first find the hourly earnings for both employees based on the provided data points.

### Employee 1 Earnings
The data points for Employee 1 are:
- (0,0): 0 hours, $0
- (2,25): 2 hours, $25
- (4,50): 4 hours, $50
- (6,75): 6 hours, $75

To calculate the hourly earnings, we can use the formula:
\[
\text{Earnings per hour} = \frac{\text{Total Earnings}}{\text{Total Hours}}
\]

1. From 0 to 2 hours: Earnings = $25
- Earnings per hour = \( \frac{25}{2} = 12.5 \) (dollars per hour)

2. From 2 to 4 hours: Additional Earnings = $50 - $25 = $25
- Additional hours = 2 hours
- Earnings per hour = \( \frac{25}{2} = 12.5 \) (dollars per hour)

3. From 4 to 6 hours: Additional Earnings = $75 - $50 = $25
- Additional hours = 2 hours
- Earnings per hour = \( \frac{25}{2} = 12.5 \) (dollars per hour)

Overall, Employee 1 earns $12.5 per hour consistently.

### Employee 2 Earnings
The data points for Employee 2 are:
- (0,0): 0 hours, $0
- (1,15): 1 hour, $15
- (3,45): 3 hours, $45
- (5,75): 5 hours, $75

Now, we calculate the hourly earnings:

1. From 0 to 1 hour: Earnings = $15
- Earnings per hour = \( \frac{15}{1} = 15 \) (dollars per hour)

2. From 1 to 3 hours: Additional Earnings = $45 - $15 = $30
- Additional hours = 2 hours
- Earnings per hour = \( \frac{30}{2} = 15 \) (dollars per hour)

3. From 3 to 5 hours: Additional Earnings = $75 - $45 = $30
- Additional hours = 2 hours
- Earnings per hour = \( \frac{30}{2} = 15 \) (dollars per hour)

Overall, Employee 2 earns $15 per hour consistently.

### Conclusion
Comparing the hourly earnings:
- Employee 1: $12.5 per hour
- Employee 2: $15 per hour

**Employee 2 earns more per hour.**