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Sliva [168]
2 years ago
10

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 ch

arges $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

Mathematics
1 answer:
uysha [10]2 years ago
8 0

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

y=mx+b

where

m is the slope

b is the y-intercept

Nextel

we have

The slope is equal to

m=\$50\ per\ month

The y-intercept is equal to

b=\$125

substitute

y=50x+125 ---> equation A

AT&T

we have

The slope is equal to

m=\$60\ per\ month

The y-intercept is equal to

b=\$75

substitute

y=60x+75 ---> 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

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<u>Step-by-step explanation:</u>

Consecutive even numbers would be {2, 4, 6, 8, 10, ...}

Let x represent the smallest number, then x + 2 is the middle number and x + 4 is the largest number.

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      (x)        +      (x + 2)       +      (x + 4)      =  48

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