Please help, I'm giving Brainliest to the right answer!!

Rai compares two cable plans from different companies. Which equation gives the correct value of m, the number of months for which Plans A and B cost the same?

A) 75m=50+125(m−12)
B) 
75m=50(12)+125m
C)
75m=50(12)+(125m−12)
D) 
75m=50(12)+125(m−12)

Please help Im giving Brainliest to the right answerRai compares two cable plans from different companies Which equation gives the correct value of m the number class=

Respuesta :

the correct answer is  D

Answer:

Option  D is correct.

[tex]75m = 50(12)+125(m-12)[/tex]

Step-by-step explanation:

Here, m represents the months.

We have to find the equation for which Plans A and B cost the same.

In Plan A:

No initial fees.

$75 per month.

For 1 month = $ 75

then;

for m month =$ 75 m

⇒Total cost for plan A =  75m

In Plan B:

$50 per month for first 12 month.

For 1 month = $ 50

for 12 months = 50(12)

Similarly for:

$125 per month for each additional month after that.

For additional month (m-12) = 125(m-12)

then

Total cost for plan B = 50(12)+125(m-12)

Since, Plans A and B cost the same.

⇒[tex]75m = 50(12)+125(m-12)[/tex]

Therefore, an equation gives the correct value of m, the number of months for which Plans A and B cost the same is, [tex]75m = 50(12)+125(m-12)[/tex]