Answer:
You need to rent 14 videos, and you'll pay the same amount for both. Renting 15 will make the membership a better method of payment.
Step-by-step explanation:
Let Number of videos to be rented be x;
Given:
For non members;
Cost of renting 1 video = $4
Cost for renting x videos = [tex]4x[/tex]
For Members;
Membership cost = $21
Cost of renting 1 video = $2.50
Cost of renting x video = [tex]2.5x[/tex]
We can create an equation. Say the number of videos you rent is given by x . We can write that, if we rent x videos without membership, we'll have to pay [tex]4x[/tex] . If we rent the same amount of videos with membership, we'll have to pay [tex]21+2.5x[/tex].
Hence the equation can written as
[tex]4x=21+2.5x\\4x-2.5x=21\\1.5x=21\\x=\frac{21}{1.5}=14[/tex]
Hence You need to rent 14 videos, and you'll pay the same amount for both. Renting 15 will make the membership a better method of payment.
