SOLUTION: one video rental club charges $25 to become a member and $2.50 to rent each video .Another charge no membership fee , but charges $3.25 to rent each video . how many videos must yo
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Question 611629: one video rental club charges $25 to become a member and $2.50 to rent each video .Another charge no membership fee , but charges $3.25 to rent each video . how many videos must you rent to make the first cluub more economical
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the number of videos rented. Let 
represent the cost of renting from club 1 and 
represent the cost of renting from club 2.
The cost of renting from club 1 as a function of the number of videos rented is then:
\ =\ 2.5x\ +\ 25)
And the cost of renting from club 2 as a function of the number of videos rented is:
\ =\ 3.25x)
The breakeven point is when the two functions are equal, so set them equal to each other and solve for . If you get a non-integer answer, round up to the next whole number considering the sense of the question ("more economical").
Evaluate each function at your answer and verify that club 1 is indeed less expensive at this number of videos rented, then evaluate each function at your answer minus 1 and verify that club 2 is still less expensive at this point. If you can answer yes in both situations, then you have done the problem correctly.
John
My calculator said it, I believe it, that settles it
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