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?
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.
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
Let's assume the number of movies rented per month is 'x'.
For the first store, the total fee would be the sum of the monthly fee and the rental charges: Total fee = 7.50 + 1.00*x.
For the second store, the total fee would be the rental charges only: Total fee = 2.50*x.
Since we want the total fees to be the same for both stores, we can set these two expressions equal to each other and solve for 'x':
7.50 + 1.00*x = 2.50*x.
We can then solve this equation to find the value of 'x':
7.50 = 2.50*x - 1.00*x.
7.50 = 1.50*x.
x = 7.50 / 1.50.
x = 5.
Therefore, the number of movies that need to be rented each month for the total fees to be the same from either company is 5.
To figure out how many movies need to be rented each month for the total fees to be the same from either company, we need to set up an equation.
Let's assume the number of movies rented per month is 'x'.
For the first store, the monthly fee is $7.50, and the charge per movie is $1.00. So the total fees from the first store can be calculated as 7.50 + 1.00x.
For the second store, there is no monthly fee, but the charge per movie is $2.50. So the total fees from the second store can be calculated as 2.50x.
We need to find the value of 'x' where the total fees from both stores are equal. So, we set up the equation:
7.50 + 1.00x = 2.50x
Now, we can solve this equation to find the value of 'x'.
First, let's simplify the equation:
7.50 = 2.50x - 1.00x
7.50 = 1.50x
Next, solve for 'x' by dividing both sides of the equation by 1.50:
x = 7.50 / 1.50
x = 5
Therefore, to make the total fees the same from either store, you'll need to rent 5 movies per month.