To find the equations that represent the proportional relationships for Employee 1 and Employee 2, we can look at the data provided.
Employee 1:
From the table:
- For 1 hour: $10
- For 2 hours: $20
- For 3 hours: $30
This indicates that each hour worked earns the same amount, so we can determine the unit rate.
To find the unit rate (the amount earned per hour), observe that:
- \( \text{Earnings} = 10 \times \text{Hours} \)
So, the proportional relationship can be expressed by the equation:
Equation for Employee 1: \[ E_1 = 10H \] where \( E_1 \) is the earnings for Employee 1 and \( H \) is the number of hours worked.
Employee 2:
From the graph:
- The points (0, 0), (1, 15), (3, 45), and (5, 75) suggest the following earnings for each hour:
For Employee 2, we notice that for every hour worked, the earnings increase by $15.
We can express this as:
- \( E_2 = 15H \)
where \( E_2 \) is the earnings for Employee 2.
Equation for Employee 2: \[ E_2 = 15H \] where \( E_2 \) is the earnings for Employee 2 and \( H \) is the number of hours worked.
Final Answer:
- The equation for Employee 1 is \( E_1 = 10H \).
- The equation for Employee 2 is \( E_2 = 15H \).