Question

McDowell Movies charges a $7 monthly fee and $3 per movie rental each month. Titan Videos charges a $15 monthly fee and $2 per movie rental each month. How many movies would you need to rent for Titan Videos to be the better deal?

Answer 1

To determine how many movies you would need to rent for Titan Videos to be the better deal, set up an inequality comparing the total cost for both services. By simplifying the inequality $15 + $2x < $7 + $3x, we find that you would need to rent more than 8 movies for Titan Videos to be the better deal.

Step-by-step explanation:

To determine how many movies you would need to rent for Titan Videos to be the better deal, we can set up an equation to compare the total cost for both services. Let's represent the number of movies rented as 'x'. For McDowell Movies, the total cost would be $7 + $3x. For Titan Videos, the total cost would be $15 + $2x.

In order for Titan Videos to be the better deal, the total cost for Titan Videos should be less than the total cost for McDowell Movies. So, we can set up the following inequality: $15 + $2x < $7 + $3x.

By simplifying the inequality, we get $15 - $7 < $3x - $2x, which simplifies to $8 < $x.

This means that you would need to rent more than 8 movies for Titan Videos to be the better deal.