SOLUTION: Hello, Snyder Cable Company has no installation fee, but has a monthly fee of $60. Butler Cable Company has a $100 installation fee and a monthly fee of $40. After how many mo

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Hello, Snyder Cable Company has no installation fee, but has a monthly fee of $60. Butler Cable Company has a $100 installation fee and a monthly fee of $40. After how many mo      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1029794: Hello,
Snyder Cable Company has no installation fee, but has a monthly fee of $60.
Butler Cable Company has a $100 installation fee and a monthly fee of $40.
After how many months will my monthly fee be the same? How do I figure this?
Thank you!
Phoebe

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +y+ = the monthly fee
Let +x+ = the number of months of cable use
------------------------------
For Snyder Cable Co.
+y+=+60x+
For Butler Cable Co:
+y+=+100+%2B+40x+
-------------------
Set the monthly fees equal to each other
+60x+=+100+%2B+40x+
+20x+=+100+
+x+=+5+
After 5 months the fees are the same
-------------------
check answer:
+y+=+60x+
+y+=+60%2A5+
+y+=+300+
and
+y+=+100+%2B+40x+
+y+=+100+%2B+40%2A5+
+y+=+300+
OK
Here are x-y plots for the 2 companies:
+graph%28+400%2C+400%2C+-1%2C+8%2C+-40%2C+350%2C+60x%2C+40x+%2B+100+%29+