Question

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?

Answer 1

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

Explanation:

Let

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

y ----> the charge monthly

we know that

First Plan

`y=0.26x` ----> equation A

Second Plan

`y=0.12x+34.95` ----> equation B

Equate the equations A and B and solve for x

`0.26x=0.12x+34.95`

`0.26x-0.12x=34.95`

`0.14x=34.95`

`x=249.6\ min`

so

For
`x< 249.6\ min` ----> is preferable the first plan

For
`x> 249.6\ min` ----> 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.