Question

The amount of time your company requires for a given task is inversely proportional to the number of employees working on the task. It takes 5 employees 2 hours to complete a task.

What is the COP of this relationship? Make sure to express your answer with units.

Answer 1

The amount of time required for a task is inversely proportional to the number of employees working on it. We can represent this relationship using the equation xy = 10, where x is the number of employees and y is the time required. The COP (constant of proportionality) in this relationship is 10.

Step-by-step explanation:

The given problem states that the amount of time required for a task is inversely proportional to the number of employees working on it. In other words, as the number of employees increases, the time required decreases.

Let's solve the problem using variables:

Let x = number of employees

Let y = time required (in hours)

We are given that when 5 employees work on the task, it takes 2 hours to complete.

So, we can set up an equation: xy = k, where k is a constant.

Using the given information, we can substitute the values: 5(2) = k, which gives us k = 10.

Now, we can express the equation as xy = 10.

Let's solve this equation for y in terms of x:

y = 10/x

This equation represents the relationship between the number of employees (x) and the time required (y) to complete the task.

The COP (constant of proportionality) in this relationship is 10, which means that if we increase the number of employees, the time required will decrease in a proportional manner.