SOLUTION: please help once again from academic eight grader one video rental club charges $25 to become a member and $2.50 to rent each video. Another charges no membership fee, but ch

Algebra ->  Equations -> SOLUTION: please help once again from academic eight grader one video rental club charges $25 to become a member and $2.50 to rent each video. Another charges no membership fee, but ch      Log On


   



Question 150984: please help once again from academic eight grader

one video rental club charges $25 to become a member and $2.50 to rent each video. Another charges no membership fee, but charges $3.25 to rent each video. How many videos must you rent to make the first club more econical?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
one video rental club charges $25 to become a member and $2.50 to rent each video.
Cost1(x) = 25 + 2.50x where "x" is the number of videos you rent.
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Another charges no membership fee, but charges $3.25 to rent each video.
Cost2(x) = 3.25x where "x" is the number of videos you rent.
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How many videos must you rent to make the first club more econical?
Comment: "More econical" means Cost1 < Cost2
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INEQUALITY:
25 + 2.50x < 3.25
25 < 0.75x
x > 33 1/3
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So cost1 will be more economical than cost2 if you rent at least 34 videos.
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Cheers,
Stan H.