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?
The equation for Employee 1 is?
The equation for Employee 2 is?
Without access to the table or graph used to display the proportional relationship for Employee 1 and Employee 2, it is not possible to determine the equations representing the relationship. Please provide the table or graph information for a more accurate response.
To find the equation that represents the proportional relationship for each employee, we need to look at the data provided.
For Employee 1, we are given a table. Let's say the number of hours worked is denoted by 'x', and the earnings by 'y'. The relationship between earnings and hours worked is proportional, which means the ratio between the two remains constant. Looking at the table, we can calculate the ratio for each pair of values:
| Hours Worked (x) | Earnings (y) |
|-----------------|--------------|
| 2 | 20 |
| 4 | 40 |
| 6 | 60 |
The ratio here is always 10:1. Therefore, the equation representing the proportional relationship for Employee 1 is: y = 10x.
For Employee 2, we are given a graph representing the proportional relationship between earnings and hours worked. The equation of a straight line can be written in the form y = mx + b, where 'm' is the slope of the line and 'b' is the y-intercept. By inspecting the graph, we can determine the slope and y-intercept.
The slope can be calculated using the rise over run method. By selecting two points on the line, we can find the change in y divided by the change in x. Looking at the graph, let's choose the point (2, 20) and (6, 60):
Slope = (change in y) / (change in x)
= (60 - 20) / (6 - 2)
= 40 / 4
= 10
Therefore, the slope for Employee 2 is 10. To find the y-intercept, we can determine the value of 'y' when 'x' is 0 by inspecting the graph. From the graph, it seems that the y-intercept is 0.
The equation representing the proportional relationship for Employee 2 is: y = 10x.