To determine the equations representing the proportional relationships between the earnings and hours worked for Employee 1 and Employee 2, we can analyze the given information.
Employee 1:
From the table, the earnings increase by $10 for every hour worked. Therefore, the earnings can be calculated as:
\[ \text{Earnings} = 10 \times \text{Hours} \]
Thus, the equation for Employee 1 is:
\[ y = 10x \]
where \( y \) represents the earnings and \( x \) represents the hours worked.
Employee 2:
From the graph, we see the following points: (0,0), (1,15), (3,45), and (5,75). We can observe that for each hour worked, the earnings increase by $15. Thus, the earnings can be calculated as:
\[ \text{Earnings} = 15 \times \text{Hours} \]
So, the equation for Employee 2 is:
\[ y = 15x \]
Summary:
- The equation for Employee 1 is \( y = 10x \).
- The equation for Employee 2 is \( y = 15x \).