Use the table and image to answer the question.Employee 1Earnings per HourHours Earnings1 102 203 30The proportional relationship for the earnings and hours worked for Employee 1 is displayed in the table. The proportional relationship between the earnings and hours worked for Employee 2 is displayed in the graph. What is the equation that represents the proportional relationship between the earnings and hours worked for Employee 1 and Employee 2?(1 point)The equation for Employee 1 is .The equation for Employee 2 is .

1 answer

To find the equations representing the proportional relationships between the earnings and hours for Employee 1 and Employee 2, we will analyze the provided information.

Employee 1:

From the table:

  • For 1 hour, earnings are $10.
  • For 2 hours, earnings are $20.
  • For 3 hours, earnings are $30.

We can see that the earnings are directly proportional to the hours worked. The common factor here is $10 per hour.

Thus, the equation for Employee 1 can be written as: \[ E_1 = 10h \] where \(E_1\) represents the earnings and \(h\) represents the hours worked.

Employee 2:

Since the graph is not provided here, I will fill in a general assumption. If Employee 2's graph shows a similar pattern (for example, earning $15 per hour), we would write:

Assuming that the earnings for Employee 2 is $15 per hour, the equation would be: \[ E_2 = 15h \]

Thus, the answer would be:

  • The equation for Employee 1 is \(E_1 = 10h\).
  • The equation for Employee 2 is \(E_2 = 15h\) (assuming $15 per hour, as an example).

If you have specific values for Employee 2 or any details from the graph, please provide them for a more accurate answer!

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