To find the equations that represent the proportional relationship between the earnings and hours worked for Employee 1 and Employee 2, we can analyze the given data.
Employee 1: From the table:
- 1 hour = $10, which means for 1 hour, the earnings (y) can be represented as: \[ y = 10 \times \text{hours} \]
Thus, for Employee 1, the equation is: \[ y = 10x \]
where \(x\) is the number of hours worked and \(y\) is the earnings.
Employee 2: From the graph:
- For 1 hour = $15, for 3 hours = $45, and for 5 hours = $75.
We can see that the earnings per hour for Employee 2 can be calculated:
- $15 per hour is the step between 0 and 1 hour. The equation can be established similarly: \[ y = 15x \]
where \(x\) is the number of hours worked and \(y\) is the earnings.
Final equations:
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The equation for Employee 1 is: \[ y = 10x \]
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The equation for Employee 2 is: \[ y = 15x \]