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de.nira

  • 3 years ago

Renting video games from The Video Vendor costs 6 dollars per game with no annual membership fee. Renting video games from the Game Garage costs 3 dollars per game, but a customer must pay an additional $60 for an annual membership. If n represents the number of video games a customer rents in a year, which of the following gives all values of n for which it costs less to rent from the Game Garage than from the Video Vendor? The options are (a) n < 10, (b) n = 10, (c) 10 < n < 20, (d) n = 20, (e) n > 20

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  1. Kelumptus
    • 3 years ago
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    So a good starting point for this one is to ask, what is the break even point?

  2. Kelumptus
    • 3 years ago
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    To find the break even point you need to look at this problem as a simultaneous equation.

  3. Kelumptus
    • 3 years ago
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    The easiest way to solve a simple simultaneous equation like this is to equate both equations and solve for x. For instance: Video Vender cost function = Game Garage cost function (where for each of these functions, x represents the number of videos per yer. Solving for x gives the break even point (you can also visualize this as being the point where the 2 functions intersect if you were to graph them together). Once you have this 'break even' point, the answer should be obvious.

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