You are choosing between two different cell phone plans. the first plan charges a rate of 26 cents per minute. the second plan charges a monthly fee of $34.95 plus 12 cents per minute. how many minutes would you have to use in a month in order for the second plan to be preferable?

In order for the second plan to be preferable, a greater amount of 249.6 minutes would have to be used in one month.

Step-by-step explanation:

Let

x -----> the number of minutes in a month

y ----> the charge  monthly

we know that

First Plan

----> equation A

Second Plan

----> equation B

Equate the equations A and B and solve for x

so

For ----> is preferable the first plan

For ----> is preferable the second plan

therefore

In order for the second plan to be preferable, a greater amount of 249.6 minutes would have to be used in one month.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9