SOLUTION: Linear Equations in Two Variables and Their Graphs; Variation 3.5 Solve each variation problem. 40. Cost of CDs. The cost for manufacturing a CD varies Inversely with the n

Algebra ->  Linear-equations -> SOLUTION: Linear Equations in Two Variables and Their Graphs; Variation 3.5 Solve each variation problem. 40. Cost of CDs. The cost for manufacturing a CD varies Inversely with the n      Log On


   

Question 173679This question is from textbook Elementary and intermediate
: Linear Equations in Two Variables and Their Graphs; Variation
3.5 Solve each variation problem.
40. Cost of CDs. The cost for manufacturing a CD varies
Inversely with the number of CDs 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?
 This question is from textbook Elementary and intermediate

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
varies inversely is nothing more than saying if one varible increases the other must decrease and takes the form of: if a varies inversely with b the
a(b)=k.....so lets find our constant value
Let cost of cd's be a and the number of cd's be b
:
a(b)=2.50(10000)=25000 ....so our constant k in this case is 25000
:
now we want to find the cost of a cd if 100000 cd's are made.
:
a(100000)=25000
:
highlight%28a=25000%2F100000=.25%29cents cost of cd when 100000 are made
:
thats quite a savings ...me thinks I will have 100000 made and make lots more mulah....lol
:
since b increase we expected a to decrease and it did.