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Answer:
16 hours
Step-by-step explanation:
let t be time, n the number of computers and w the number of workers, then
t = ← k is the constant of variation
To find k use the condition n = 30, w = 6 and t = 10 , then
10 = ( multiply both sides by 6 )
60 = 30k ( divide both sides by 30 )
2 = k
t = ← equation of variation
When w = 5 and n = 40 , then
t = =
= 16 hours
we know that in direct variation as x increase y also increases.
in indirect variation x decreases y increase and vice versa.
in part a we have x at top (numerator ) and y at denominator it mean indirect variation (as x increases y decreases).
to find k we know that for indirect variation xy=k
if we rewrite the equation x=9/y we get xy=9
which mean k=9 .
in part b we have 4xy=20 if we simplify this equation we get
so here if we rewrite in terms of x.
we get x=5/y which represents indirect variation.
and we know xy=k
we have xy=5 .so k=5