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

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) (Show Source): You can put this solution on YOUR website!
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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.
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First Plan

Second Plan

Want the second plan to be preferable.

Solve this for t.
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