Question

Carl owns a company that washes the windows of office buildings. He recently signed a contract for a large office building and estimates that it would take 2 days for 4 workers to wash the windows. Write an equation to describe the relationship between time (t) and the number of workers (n), which are inversely proportional.

Answer 1

Answer:

t = 8 / n

Step-by-step explanation:

Time (t) and the number of workers (n), which are inversely proportional.

t = k (1/n)

t = k / n

Where,

t= time it will take workers to finish their job

n = number of workers doing the job

k = constant of proportionality

He estimates that it would take 2 days for 4 workers to wash the windows.

t= 2 days

n= 4 workers

t = k / n

2 = k / 4

Cross product

2*4 = k

8 = k

The relationship between time an number of workers is

t = k / n

t = 8 / n