SOLUTION: You are choosing between two different prepaid cell phone plans. The first plan charges a rate of 34 cents per minute. The second plan charges a monthly fee of $19.95 plus 13 cents

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: You are choosing between two different prepaid cell phone plans. The first plan charges a rate of 34 cents per minute. The second plan charges a monthly fee of $19.95 plus 13 cents      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1125249: You are choosing between two different prepaid cell phone plans. The first plan charges a rate of 34 cents per minute. The second plan charges a monthly fee of $19.95 plus 13 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?
You would have to use more than

minutes in a month.
Begin by writing linear modeling functions for the cost C for each cell phone plan in terms of t minutes having the form
C = mt + b.
What is the interpretation of the point of intersection for the two modeling functions? If two functions have the same output C, what is a method for solving for the input t? Interpret the cost of each cell plan when t is greater than and when t is less than its intersection point value.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
----------------------------------------------
The first plan charges a rate of 34 cents per minute. The second plan charges a monthly fee of $19.95 plus 13 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?
...

Begin by writing linear modeling functions for the cost C for each cell phone plan in terms of t minutes having the form
C = mt + b.
---------------------------------------------


First Plan
34%2At

Second Plan
13t%2B19.95

Want the second plan to be preferable.
13t%2B19.95%3C34t
Solve this for t.