Compare Proportional Relationships Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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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
.
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The equation for Employee 1 is y = 10x.
The equation for Employee 2 is y = 15x.
To find the equation that represents the proportional relationship between the earnings and hours worked for Employee 1 and Employee 2, we need to find the constant of proportionality, which represents the rate at which earnings increase per hour worked.
For Employee 1, we can see that the earnings increase by 10 units for every 1 unit increase in hours worked. Therefore, the constant of proportionality for Employee 1 is 10. The equation for Employee 1 can be written as:
Earnings = 10 * Hours
For Employee 2, we can see that the earnings increase by 15 units for every 1 unit increase in hours worked. Therefore, the constant of proportionality for Employee 2 is 15. The equation for Employee 2 can be written as:
Earnings = 15 * Hours