Use the table and image to answer the question.

Question

Employee 1
Earnings per Hour
Hours Earnings
1 10
2 20
3 30
A line graph is titled as Employee 2, Earnings per Hour. The x-axis is labeled Hours ranging from 0 to 6 in increments of 1. The y-axis is labeled Earnings in dollars, ranging from 0 to 80 in increments of 5. A solid line joins four plotted points. The coordinates of the plotted points are as follows: left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 15 right parenthesis, left parenthesis 3 comma 45 right parenthesis, and left parenthesis 5 comma 75 right parenthesis.

The 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
.
Remaining Attempts : 3
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Answer 1

To determine the equations that represent the proportional relationship between earnings and hours worked for Employee 1 and Employee 2, we can analyze the information provided.

Employee 1

From the table:

• When 1 hour is worked, earnings are $10.
• When 2 hours are worked, earnings are $20.
• When 3 hours are worked, earnings are $30.

We can observe that the earnings are directly proportional to hours worked. The earnings can be represented as:

• Earnings = $10 * Hours

So, the equation for Employee 1 is: E_1 = 10H
(where \(E_1\) is earnings and \(H\) is hours worked)

Employee 2

From the coordinates of the plotted points:

1. (0, 0)
2. (1, 15)
3. (3, 45)
4. (5, 75)

From the point (1, 15), we can find the earnings per hour:

• When 1 hour is worked, earnings are $15.

We can verify this ratio with the other points:

• When 3 hours are worked, earnings are $45 (which is $15 x 3).
• When 5 hours are worked, earnings are $75 (which is $15 x 5).

Thus, the earnings can be represented as:

• Earnings = $15 * Hours

So, the equation for Employee 2 is: E_2 = 15H
(where \(E_2\) is earnings and \(H\) is hours worked)

Summary

• The equation for Employee 1 is E_1 = 10H.
• The equation for Employee 2 is E_2 = 15H.

Answer 2

i need the answer more clearly

Answer 3

Sure! Here are the equations presented clearly:

Employee 1

Equation:
E₁ = 10H
(where E₁ is earnings and H is hours worked)

Employee 2

Equation:
E₂ = 15H
(where E₂ is earnings and H is hours worked)

Summary

• The equation for Employee 1 is E₁ = 10H.
• The equation for Employee 2 is E₂ = 15H.