A software company started off with 2 employees. They
added 2 new employees every 8 months. Which equation
shows the relationship between the number of employees
y and the number of months × since the company started?
The equation that represents the relationship between the number of employees (y) and the number of months (x) since the company started is given by:
y = 2 + 2(x/8)
This equation represents the initial 2 employees plus 2 new employees added every 8 months.
To determine the equation that represents the relationship between the number of employees (y) and the number of months since the company started, we need to analyze the given information.
We know that the company started with 2 employees. Additionally, they added 2 new employees every 8 months. This means that after 8 months, they have 4 employees (2 original + 2 new), and after 16 months, they have 6 employees (2 original + 2 new + 2 new), and so on.
From this pattern, we can observe that the number of new employees (2) is added every multiple of 8 months. We can express this as:
Number of new employees = (Number of months / 8) * 2
Since the number of employees includes the initial 2 employees, the equation becomes:
Number of employees = Number of new employees + 2
Combining the equations, we get:
Number of employees = (Number of months / 8) * 2 + 2
Simplifying further, the equation that shows the relationship between the number of employees (y) and the number of months since the company started (x) is:
y = (x / 8) * 2 + 2
So, the equation that represents the relationship between the number of employees y and the number of months x since the company started is y = (x / 8) * 2 + 2.