AT Mr. Hoopers Video rentals you can join a video club for a monthly fee of $30. Club members pay only .85$ to rent each movie. If you are not a member of the video club, the movies rent for $2.25 each. How many videos would you have to rent each month to make the membership worth the investment?
set the two costs equal
2.25n=30+.85n
solve for n.
To determine how many videos you would have to rent each month to make the membership worth the investment, we need to compare the cost per video for club members and non-members.
For club members:
Cost per video = $0.85
For non-members:
Cost per video = $2.25
Given that the monthly membership fee is $30, we can set up an equation to find the breakeven point:
$30 + ($0.85 * Number of videos) = $2.25 * Number of videos
Let's solve for the number of videos:
$30 + $0.85N = $2.25N
$30 = $2.25N - $0.85N
$30 = $1.40N
Divide both sides by $1.40:
N = $30 / $1.40
N ≈ 21.43
Since you can't rent a fraction of a movie, you would need to rent at least 22 videos each month to make the membership worth the investment.