Sagot :
Answer with step-by-step explanation:
Let:
y = number of days
x = number of men
k = constant of variation
The equation for inverse variation:
y = kx
and
k= xy
It means that as one variable increases, the other variable decreases.
In work rate, as more men work on a given job, the faster or fewer days it is completed. As fewer men work on the same job, the longer or more days it is completed.
Example:
- 10 men can repair a house in 6 days. How many men are needed to complete the house in 3 days?
- Find x, the number of men needed to complete the repairs in 3 days
Since k is constant, and k =xy, then:
xy = xy
(10)(6) = x(3)
60 = 3x
3x/3 = 60/3
x = 20
20 men are needed to complete the repairs work faster in 3 days.