Question 328712: the cost for the manufacturing of a cd varies inversely with the number of cd's made. if the cost is $2.50 per cd when 10,000 are made, then what is the cost per cd when 100,000 are made?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the formula for inverse variation is:
y = k/x
k is the constant of variation.
let y = cost per cd
let x = number of cd
y = k/x becomes:
2.50 = k / 10,000
Solve for k to get k = 10,000 * 2.50 = 25,000
Since k is a constant, it will not change.
cost when 100,000 cd are made would therefore be:
y = 25,000 / 100,000 = .25 per cd.
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