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12 Oct 2015, 22:12
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
78% (01:09) correct
22%
(01:17)
wrong
based on 113
sessions
History
Date
Time
Result
Not Attempted Yet
You can rent DVDs at a local video store for $5.00 per movie without a membership. However, if you purchase a membership for $7.00 per month, you can rent DVDs for $2.00 a piece. What is the minimum amount of DVDs you would have to rent to make it worth it to purchase the membership.
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Kudos for a correct solution.
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Kudos for a correct solution.
12 Oct 2015, 23:14
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Bunuel
Lets assume that Break-even is achieved on renting x DVD
i.e. Price to be paid without membership for renting x DVDs = 5x
i.e. Price to be paid WITH membership for renting x DVDs = 7+2x
now 7+2x < 5x
i.e. 3x > 7
i.e. x > 2.3
i.e. \(x_{min} = 3\)
Answer: option C
13 Oct 2015, 00:05
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Bunuel
Without membership, you buy 3 DVD's = 5*3= $15.00
With membership, you buy 3 = 7 + 3*2 = $13.00
Thus you save $2. And 3 is the minimum amount of DVD's required to make the membership worth it.
Option C
