Answer:
Equation of inverse variation is [tex]t=\frac{36}{n}[/tex].
Step-by-step 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 [tex]x\ and\ y[/tex] varies inversely proportion then,
[tex]xy=k[/tex] , here k is constant of inverse variation.
Now, From the Question
Inverse variation will be in the form for given scenario: [tex]t=\frac{k}{n}[/tex]
Where, [tex]t[/tex] is time taken by workers and [tex]n[/tex] is number of workers.
Substituting the values we get,
[tex]6=\frac{k}{6}[/tex] ⇒[tex]k=36[/tex]
Therefore, Equation of inverse variation is [tex]t=\frac{36}{n}[/tex].
