Answer:
It would take 3 painters, a total number of 8 hours, to paint the house
Step-by-step explanation:
Let the number of hours be denoted by N, and the number of painters be denoted by P. The inverse relationship can be expressed as:
N α [tex]\frac{1}{P}[/tex]
Removing the proportionality symbol (α), introduces a constant of proportionality, which can be assumed to be C, in this example.
So, N = [tex]\frac{C}{P}[/tex]
When N = 6, P = 4
6 = [tex]\frac{C}{4}[/tex]
C = 24
So that, N = [tex]\frac{24}{P}[/tex]. This is the formula to use for determination of the other variable when one of them is known.
Now, given 3 painters, the number of hours needed can be obtained as follows:
N = [tex]\frac{24}{3}[/tex] = 8 hours
