Question

9. The theater club of a local high school is planning a production. The amount of time t needed to assemble the set is inversely

proportional to the number people n working. Twelve people can assemble the set in 5 hours.
Write an equation to represent the situation.

Answer 1

The situation that represents this situation is:

`t = (60)/(n)`

Explanation:

The amount of time t needed to assemble the set is inversely proportional to the number people n working.

This means that:

`t = (k)/(n)`

In which k is the constant of proportionality.

Twelve people can assemble the set in 5 hours.

This means that for
`n = 12, t = 5`. We use this to find k.

`t = (k)/(n)`

`5 = (k)/(12)`

`k = 12*5 = 60`

Write an equation to represent the situation.

`t = (60)/(n)`