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. 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

Answer 1

Given : it takes 4 employees 4 days to complete a task. It would take 2 employees 8 days to complete the same task

To Find : 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

Solution:

4 employees 4 days to complete a task

=  4 e * 4 d

= 16ed

2 employees 8 days to complete a task

=  2 e * 8 d

= 16ed

16ed =  16ed

=> d  = 16/e

if number of employees increases days decreases

if  number of employees decreases days increases

Inversely vary

correct option

inverse variation;  de = k

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Answer 2

Answer: inverse variation; d=ke

Step-by-step explanation:

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