Question

The time t (in weeks) it takes workers to complete a project varies inversely with the number n of workers. It takes 6 workers 6 weeks to complete the project. Write an inverse variation equation that relates t and n.​

Answer 1

Equation of inverse variation is
`t=(36)/(n)`.

Explanation:

Given that,

6 workers takes 6 weeks to complete the project.

To find: Write an inverse variation Equation that Relates t and n.

So, Indirect variation is defined as when two variables change its properties inverse proportion to each other known as Indirect variation.It is written as when two variables
`x\ and\ y` varies inversely proportion then,

`xy=k` , here k is constant of inverse variation.

Now, From the Question

Inverse variation will be in the form for given scenario:
`t=(k)/(n)`

Where,
`t` is time taken by workers and
`n` is number of workers.

Substituting the values we get,

`6=(k)/(6)` ⇒
`k=36`

Therefore, Equation of inverse variation is
`t=(36)/(n)`.