SOLUTION: At how many minutes per month is the cost of the two following options the same? Answer this question algebraically: 1. prepaid plan charges 20 cents per minute 2.1 year contra

Algebra ->  Finance -> SOLUTION: At how many minutes per month is the cost of the two following options the same? Answer this question algebraically: 1. prepaid plan charges 20 cents per minute 2.1 year contra      Log On


   



Question 962031: At how many minutes per month is the cost of the two following options the same? Answer this question algebraically:
1. prepaid plan charges 20 cents per minute
2.1 year contract,monthly service fee of $30 which includes 150 free minutes per month and any excess charges are at 5 cents per minute.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
For a one month period:
Let +n+ = number of minutes per month
Let +C+ = cost of the plan per month
------------------------------------
Plan 1:
+C+=+.2n+ dollars
Plan 2:
+C+=+30+%2B+.05%2A%28+n+-+150+%29+ dollars
----------------------------
Set 1 equal to 2
+.2n+=+30+%2B+.05%2A%28+n+-+150+%29+
+.2n+=+30+%2B+.05n+-+7.5+
+.15n+=+30+-+7.5+
+.15n+=+22.5+
+n+=+150+
The options are the same at 150 min
check:
Plan 1:
+C+=+.2n+
+C+=+.2%2A150+
+C+=+30+
Plan 2:
+C+=+30+%2B+.05%2A%28+n+-+150+%29+
+C+=+30+%2B+.05%2A%28+150+-+150+%29+
+C+=+30+
OK