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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?

Respuesta :

calculista

Answer:

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

[tex]y=0.26x[/tex] ----> equation A

Second Plan

[tex]y=0.12x+34.95[/tex] ----> equation B

Equate the equations A and B and solve for x

[tex]0.26x=0.12x+34.95[/tex]

[tex]0.26x-0.12x=34.95[/tex]

[tex]0.14x=34.95[/tex]

[tex]x=249.6\ min[/tex]

so

For [tex]x< 249.6\ min[/tex] ----> is preferable the first plan

For [tex]x> 249.6\ min[/tex] ----> 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.

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