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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.

Which function can be used to represent e, the number of employees working on the task, and d, the number of days it takes them to complete that task?

direct variation; d = ke
direct variation; de = k
inverse variation; d = ke
inverse variation; de = k

Respuesta :

Yna9141
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. 
JeanaShupp

Answer: inverse variation; [tex]de = k[/tex]

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 = [tex]4\times4=16[/tex]

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

Work done by complete the task = [tex]2\times8=16[/tex]

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 [tex]de = k[/tex]

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