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:

And the cost of renting from club 2 as a function of the number of videos rented is:

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