Compare Proportional Relationships Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Use the table and image to answer the 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 find the equations representing the proportional relationships for Employee 1 and Employee 2, we need to interpret the data given.

Employee 1

From the table for Employee 1, we have the following earnings per hour:

• At 1 hour: $10
• At 2 hours: $20
• At 3 hours: $30

From this, we can see that for every hour worked, the earnings increase by $10. Thus, the earnings (E) can be expressed as: \[ E = 10h \] Where \( h \) is the number of hours worked.

Employee 2

For Employee 2, we can see the data points plotted on the graph:

• (0, 0)
• (1, 15)
• (3, 45)
• (5, 75)

From the coordinates, we can see that for every hour worked, the earnings increase by $15. Therefore, the earnings (E) can be expressed as: \[ E = 15h \]

Summary

• The equation for Employee 1 is \( E = 10h \).
• The equation for Employee 2 is \( E = 15h \).