The proportional relationship for the earnings and hours for a employee. One is displayed in the table. The proportion of relationship between the earnings and hours of work for employee 2 is displayed in the graph. What is the equation that represents the proportional relationship between the surroundings and hours? Work for employee run and employee 2.
Table: hours 1,2,3 Table earnings: 10,20,30
The graph show the line at the beginning of the origin going upwards towards the right. Endpoints being 1,15 3,45. 5,75
To find the equation representing the proportional relationship between earnings and hours for employee 1, we can use the given data points (1, 10) and (2, 20).
First, calculate the rate of change by dividing the change in earnings by the change in hours:
Rate of change = (20 - 10) / (2 - 1) = 10 / 1 = 10
Now, we can use the rate of change to form the equation in the form y = mx, where y represents earnings and x represents hours:
Earnings = 10 * hours
Therefore, the equation representing the proportional relationship between earnings and hours for employee 1 is:
Earnings = 10 * hours
For employee 2, based on the graph given, the proportional relationship between earnings and hours appears to be the same as for employee 1, with the equation being:
Earnings = 10 * hours
The answer of the question has to be an equation
Apologies for the oversight. Let's write the equation for the proportional relationship between earnings and hours for employee 2 based on the information from the graph.
From the graph, we see that the relationship between earnings and hours for employee 2 is a straight line passing through the origin. The slope of this line is constant and can be calculated using any two points on the line.
Taking the points (1, 15) and (3, 45) from the graph:
Slope = (45 - 15) / (3 - 1) = 30 / 2 = 15
The slope represents the rate at which earnings increase with respect to the hours worked for employee 2. Therefore, the equation that represents the proportional relationship between earnings and hours for employee 2 is:
Earnings = 15 * hours
This equation shows that the earnings for employee 2 are 15 times the number of hours worked, indicating a proportional relationship between the two variables.