Answer:
The question is incomplete, the complete part of the question including the options is:
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?
A) direct variation; d = ke
B) direct variation; de = k
C) inverse variation; d = ke
D) inverse variation; de = k
The correct answer is D
Step-by-step explanation:
Looking at the question again, it takes 4 employees 4 days to complete a task i.e.
4 employees = 4 days
Thus;
1 employee will spend 4 × 4= 16 days to complete the same task
It will also take 2 employees 8 days to complete the task i.e. 2 × 8 = 16
Thus, the constant (k) is 16
The relationship between the number of employees (e) and the number of days (d) is an inverse proportion/variation because as one variable increases, the other decreases and vice versa. For example; when the number of days (d) decreased i.e. 2 days, the number of employees (e) increased i.e. 8 employees
Thus, the number of employees or number of days that will be used can be derived from the inverse expression: k = de
where k (constant) = 16
