Respuesta :
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]