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?
Without the table or graph provided, it is not possible to determine the equation that represents the proportional relationship between the earnings and hours worked for Employee 1 and Employee 2.
To find the equation that represents the proportional relationship between the earnings and hours worked for Employee 1 and Employee 2, we first need to gather the data from the table and graph.
For Employee 1, let's assume the table shows the following data:
| Hours Worked | Earnings |
|--------------|----------|
| 5 | $50 |
| 10 | $100 |
| 15 | $150 |
| 20 | $200 |
This relationship can be represented by the equation: Earnings = (Hours Worked) * 10
For Employee 2, we need to examine the graph to determine the equation. If the graph shows a straight line passing through the origin (0,0) with a positive slope, then the equation will be in the form: Earnings = (slope) * (Hours Worked).
Once you have provided the details from the graph, I can help you calculate the equation for Employee 2.
To find the equation that represents the proportional relationship between earnings and hours worked for Employee 1 and Employee 2, we need to examine the given information - the table and the graph.
For Employee 1, we have a table that displays the proportional relationship between earnings and hours worked. Usually, a proportional relationship can be expressed in the form y = mx, where y represents the earnings, x represents the hours worked, and m represents the constant of proportionality.
Let's consider an example of a proportional relationship for Employee 1:
Hours Worked (x) | Earnings (y)
-------------------------------
2 | 20
4 | 40
6 | 60
From this table, we can see that for every 2 hours worked, the earnings increase by $20. Therefore, the constant of proportionality is 20/2 = 10.
So, the equation that represents the proportional relationship for Employee 1 is:
y = 10x
Now, for Employee 2, we have a graph that displays the proportional relationship between earnings and hours worked. Again, we can assume that the relationship can be expressed in the form y = mx.
From the graph, look for two points that lie on the line and determine the slope (m). The slope represents the constant of proportionality.
Using the graph, let's assume that the coordinates of two points on the line are (5, 50) and (10, 100). To calculate the slope, we use the formula:
m = (y2 - y1) / (x2 - x1)
m = (100 - 50) / (10 - 5)
= 50 / 5
= 10
So, the equation that represents the proportional relationship for Employee 2 is:
y = 10x
Therefore, both Employee 1 and Employee 2 have the same equation representing their proportional relationship, which is y = 10x.