SOLUTION: Please help me solve this system. I'm very confused on it. "You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents per minute. The secon

Question 399236: Please help me solve this system. I'm very confused on it. "You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents per minute. The second plan charges a monthly fee of $39.95 plus 11 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?"

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The first plan charges a rate of 24 cents per minute.
The second plan charges a monthly fee of $39.95 plus 11 cents per minute.
How many minutes would you have to use in a month in order for the second plan to be preferable?"
:
Let m = no. of minutes used
:
The monthly cost for the first plan would just be .24m
the monthly cost for the 2nd plan would be: .11m + 39.95
:
They want to know how many minutes before the 2nd plan would cost less
We can write it like this: (1st plan cost greater that 2nd plan cost)
.24m > .11m + 39.95
some basic algebra, subtract .11m from both sides
.24m - .11m > 39.95
.13m > 39.95
Divide both sides by .13
m >
m > 307.3 minutes
therefore we can say when you use 308 minutes the 2nd plan is cheaper
:
:
We can prove that
the 1st plan: 308*.24 = $73.92
2nd plan 308*.11 + 39.95 = $73.83
:
:
Did this unconfuse you somewhat?
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