To determine which employee earns more per hour, we need to find the slope of the lines representing the earnings for both employees, as the slope indicates the rate of change or the earnings per hour.
For Employee 1, we can use the points provided:
- Point 1: (0, 0)
- Point 2: (2, 25)
- Point 3: (4, 50)
- Point 4: (6, 75)
To find the earnings per hour (slope), we can take two points and use the slope formula: \[ \text{slope} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} \]
Using points (0, 0) and (2, 25): \[ \text{slope} = \frac{25 - 0}{2 - 0} = \frac{25}{2} = 12.5 \text{ dollars per hour} \]
For Employee 2, we can also use the points provided:
- Point 1: (0, 0)
- Point 2: (1, 15)
- Point 3: (3, 45)
- Point 4: (5, 75)
Using points (0, 0) and (1, 15): \[ \text{slope} = \frac{15 - 0}{1 - 0} = 15 \text{ dollars per hour} \]
Comparing the slopes (earnings per hour):
- Employee 1: $12.5 per hour
- Employee 2: $15 per hour
Thus, Employee 2 earns more per hour.
Final answer: Employee 2 earns more per hour.