SOLUTION: the amount of time it takes to paint a house varies inversly with the number of painters. if it takes 4 painters 40 hours how long would it take 10 painters? A.100 HOURS B.26 HOU

Question 550903: the amount of time it takes to paint a house varies inversly with the number of painters. if it takes 4 painters 40 hours how long would it take 10 painters?
A.100 HOURS B.26 HOURS C.20 HOURS D.16 HOURS ...... how did you get the answer?
Found 3 solutions by TutorDelphia, josmiceli, scott8148:
Answer by TutorDelphia(193)   (Show Source): You can put this solution on YOUR website!
Inverse variation uses the formula
y=k/x
If 40=k/4
Than k=160
So our formula is Time=160/Painters
t=160/10
t=16 hrs

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
They want you to show the inverse relation
which is
where
= number of painters
= hours it takes them to paint a house
= constant of proportionality
------------------------------
You have to find
given:

Now you can say:

(D) 16 hours is the answer
Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
it takes 160 painter-hours (like man-hours) to paint the house

4 * 40 = 10 * x
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