Question

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?

Answer 1

D. 75m = 50(12)+125(m-12)

Explanation:

m = months.

Equation for which Plans A and B cost the same.

In Plan A:

No initial fees.

$75 per month

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.

1 month = $50

12 months = 50(12)

Similarly,

$125 per month for each additional month after that.

additional month= (m-12)

Plan B additional month

= 125(m-12)

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

Since, Plans A and B cost the same.

75m = 50(12)+125(m-12)