Answer:
The total costs will be the same at the 5-month
Step-by-step explanation:
<u><em>The question is</em></u>
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