Write a system of equations Nextel has an initial fee of $125 and charges $50 a month. AT&T has an initial fee of $75 and charges $60 a month. Write a system of equations Nextel has an initial fee of $125 and charges $50 a month. AT&T has an initial fee of $75 and charges $60 a month. Write a system of equations Nextel has an initial fee of $125 and charges $50 a month. AT&T has an initial fee of $75 and charges $60 a month. Write a system of equations Nextel has an initial fee of $125 and charges $50 a month. AT&T has an initial fee of $75 and charges $60 a month. Write a system of equations Nextel has an initial fee of $125 and charges $50 a month. AT&T

The total costs will be the same at the 5-month

Step-by-step explanation:

The question is

After how many months will the cost be the same?

Let

x ---> the number of months

y ---> the total charge

we know that

The linear equation in slope intercept form is equal to

where

m is the slope

b is the y-intercept

Nextel

we have

The slope is equal to

The y-intercept is equal to

substitute

---> equation A

AT&T

we have

The slope is equal to

The y-intercept is equal to

substitute

---> equation B

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (5,375)

see the attached figure

therefore

The total costs will be the same at the 5-month

Prior to 5 months, Nextel is more expensive.

After 5 months, AT&T is more expensive

215.92 dollars is the answer