Question 835606: You're part of a high school committee whose purpose is to organize an upcoming school dance. The dance is to include a band and there are 2 currently available. Band A charges $300 plus $1.75 for every ticket sold. Band B charges $300 per hour. To encourage attendance the ticket price should be as low as possible, so if the dance will last 2 hours and have an attendance of 200 students, which is the least expensive band?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Band A charges $300 plus $1.75 for every ticket sold.
Cost: A(x) = 300+1.75x
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Band B charges $300 per hour.
Cost: B(x) = 300x
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To encourage attendance the ticket price should be as low as possible, so if the dance will last 2 hours and have an attendance of 200 students, which is the least expensive band?
A(200) = 300 + 1.75*200 = $650
B(2) = 300*2 = $600
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Cheers,
Stan H.
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