To find the equations that represent the proportional relationships between earnings and hours worked for Employee 1 and Employee 2, we can analyze the provided information:
Employee 1
From the table, we see that:
- Earnings increase by $10 for each additional hour worked.
This means that for every hour, the earning is directly proportional to the hours worked. The relationship can be summarized as:
- Earnings = (Earnings per hour) × (Hours worked)
From the data:
- For 1 hour, earnings are $10
- Hence, the earnings per hour for Employee 1 is $10.
Thus, the equation representing the earnings (y) based on hours (x) for Employee 1 is: \[ y = 10x \]
Employee 2
From the graph, we notice the following points:
- (0, 0)
- (1, 15)
- (3, 45)
- (5, 75)
Looking at the points, we can see that the earnings also increase proportionally with hours worked. Specifically, from the point (1, 15), we see that for 1 hour, earnings are $15.
The earnings appear to be increasing by $15 for each hour worked. Hence, the earnings per hour for Employee 2 is $15.
Thus, the equation representing the earnings (y) based on hours (x) for Employee 2 is: \[ y = 15x \]
Final Answers
The equations for Employee 1 and Employee 2 are:
- The equation for Employee 1 is \( y = 10x \)
- The equation for Employee 2 is \( y = 15x \)