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A phone company has two long distance plans. Plan A charges a flat monthly fee of $13 and $0.37 per minute of long distance calls Plan B charges a flat monthly fee of $28 and $0.15 per minute of long distance calls. After how much time on long distance calls to the nearest minute, would the cost of plan A be equal to the cost of plan B?

Respuesta :

samuelonum1

Answer:

68.18min

Step-by-step explanation:

let the cost of plan A be Y1

and the cost of plan B be Y2

let the number of minutes for both plans be x

let us model the cost of plan A

Y1= 13+0.37x-------1

let us model the cost of plan B

Y2= 28+0.15x------2

when Y1=Y2, we can now solve for x which is in minutes

13+0.37x=28+0.15x

collect like terms

13-28=0.15x-0.37x

-15=-0.22x

divide both sides by -0.22

x=-15/-0.22

x=68.18min

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