Question

Suppose a video store charges non-members $4 to rent a video. A membership costs $21 and then videos cost only $2.50 to rent. How many videos would you need to rent in order to justify a membership?

Answer 1

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 = $4x$

For Members;

Membership cost = $21

Cost of renting 1 video =  $2.50

Cost of renting x video =  $2.5x$

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 $4x$ . If we rent the same amount of videos with membership, we'll have to pay $21+2.5x$.

Hence the equation can written as

$4x=21+2.5x\\4x-2.5x=21\\1.5x=21\\x=\frac{21}{1.5}=14$

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.