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
The options are (a) n < 10, (b) n = 10, (c) 10 < n < 20, (d) n = 20, (e) n > 20
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So a good starting point for this one is to ask, what is the break even point?
To find the break even point you need to look at this problem as a simultaneous equation.
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.