SOLUTION: Please show me the steps on how to do this problem I forgot how to do it. A business needs to decide whether to rent or buy a copy machine. The rental is $200 plus 8 cents per c

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please show me the steps on how to do this problem I forgot how to do it. A business needs to decide whether to rent or buy a copy machine. The rental is $200 plus 8 cents per c      Log On


   



Question 1082594: Please show me the steps on how to do this problem I forgot how to do it.
A business needs to decide whether to rent or buy a copy machine. The rental is $200 plus 8 cents per copy. To buy the machine costs $1,200 but the supplies only cost 4 cents per copy. Which set of linear equations can be used to determine the number of copies needed to make the costs equal?
Thanks

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The difficult part here is that the rental cost is an ongoing cost that must be captured over time. So it's $200 every month or week or some time period.
Once you buy the machine, you don't get charged for it every time period.
I'll just work the problem assuming that you only pay a one time rental price.
Machine A: C%5BA%5D=200%2B0.08N
Machine B: C%5BB%5D=1200%2B0.04N
Set them equal to each other.
200%2B0.08N=1200%2B0.04N
0.04N=1000
N=1000%2F0.04
Solve that to get the number of copies.