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

Answer:

The situation that represents this situation is:

$t = \frac{60}{n}$

Step-by-step explanation:

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

This means that:

$t = \frac{k}{n}$

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.

$t = \frac{k}{n}$

$5 = \frac{k}{12}$

$k = 12*5 = 60$

Write an equation to represent the situation.

$t = \frac{60}{n}$