SOLUTION: You are choosing between two different cell phone plans. The first plan charges a rate of 18 cents per minute. The second plan charges a monthly fee of $49.95 plus 8 cents per minu

Algebra ->  Finance -> SOLUTION: You are choosing between two different cell phone plans. The first plan charges a rate of 18 cents per minute. The second plan charges a monthly fee of $49.95 plus 8 cents per minu      Log On


   

Question 1132577: You are choosing between two different cell phone plans. The first plan charges a rate of 18 cents per minute. The second plan charges a monthly fee of $49.95 plus 8 cents per minute. How many minutes would you have to use in a month in order for the plans to cost the same? If necessary round to four decimal places.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = number of minutes used per month
when the plans become equal
Let +c+ = cost of plans in cents
1st plan:
(1) +c+=+18t+
2nd plan:
(2) +c+=+8t+%2B+4995+
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Plug (1) into (2)
(2) +18t+=+8t+%2B+4995+
(2) +10t+=+4995+
(2) +t+=+499.5+ min