Question

In a company, it takes 4 employees 4 days to complete a task. It would take 2 employees 8 days to complete the same task.

Answer 1

The concept that can be used in order to answer this item is that of man-days. The total number of man-days required to do the job should always be constant. 

This can be illustrated by the givens above.
Scenario 1: 
     N1 = (4 employees)(4 days) = 16 man-days

Scenario 2:
    N2 = (2 employees)(8 days) = 16 man-days

The equation for determining the value of e is equal to,
     k = (d)(e)

The answer is the second choice. 

Answer 2

Answer: inverse variation; $de = k$

Step-by-step explanation:

Given: In a company, it takes 4 employees 4 days to complete a task.

Work done by complete the task by = $4\times4=16$

Similarly, It would take 2 employees 8 days to complete the same task.

Work done by complete the task = $2\times8=16$

There is inverse variation which means if number of workers decreases then the number of days increases.

If e represents the number of employees working on the task and d represents the number of days it takes them to complete that task.

Then, by inverse variation $de = k$