To find the equations representing the proportional relationships between the earnings and hours worked for Employee 1 and Employee 2, we can analyze the information given:
For Employee 1:
- The table shows the following earnings for hours worked:
- For 1 hour: $10
- For 2 hours: $20
- For 3 hours: $30
From this data, we can see that the earning increases by $10 for each hour worked. This indicates a constant rate of change (slope) of $10 per hour. Therefore, we can express this relationship with the equation: \[ E = 10H \] where \( E \) is the earnings and \( H \) is the hours worked.
For Employee 2: Without the specific graph details, let's assume that similar to Employee 1, the relationship is also linear and proportional. If we suppose the graph indicates that Employee 2 earns a different hourly rate but still maintains proportionality, we could describe it with a similar equation format.
However, since we don't have the exact information for Employee 2, we generally denote its hourly earnings as \( k \): \[ E = kH \] where \( k \) is the earnings per hour for Employee 2.
Thus, the complete answer can be summarized as:
- The equation for Employee 1 is \( E = 10H \).
- The equation for Employee 2 is \( E = kH \) (with \( k \) being the hourly earnings shown in the graph).
If you can provide the specific earnings per hour for Employee 2, I can help refine that second equation.
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