A video store charges a monthly fee of 7.50, but the charge to rent each movie is only 1.00 per movie. Another store has no membership fee, but it costs 2.50 to rent each movie. How many movies need to be rented each month for the total fees to be the same from either company?

Answer 1

plan1 = 7.5 + 1m, where m is the number of movies rented
plan2 = 2.5m

when is 2.5m = m + 7.5 ?
1.5m = 7.5
m = 7.5/1.5 = 5

at 5 movies rented the cost would be the same.

Answer 2

Gloria is considering two different movie services. Service A charges a $15.00 monthly fee for unlimited streaming of movies and $2.50 per DVD rental. Service B charges a $12.00 monthly fee for unlimited streaming of movies and $3.50 per DVD rental. The system of equations below describes the relationship between the number of DVDs rented per month (x) and the monthly cost t(y) in dollars , for both services . y = 15.00 + 2.50x; y = 12.00 + 3.50x