Question 521237: In comparing two local well-known DJs for this year’s street dance, you see two good choices. DJ Joe charges $100 for each hour of play time. DJ Dan charges a fee of $150, plus $75 an hour of play time.
a. For two hours of play time, what would be the charge for each and who would charge the lesser amount?
b. For eight hours of play time, what would be the charge for each and who would charge the lesser amount?
c. For how many hours would DJ Joe provide the better deal? Express your answer as an inequality. Explain how you found your answer.
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! Let x be the number of hours
DJ Joe 0 + 100.00 x
DJ Dan 150 + 75.00 x
For 2 hours
DJ Joe 0 + 100.00 * 2 = 200
DJ Dan 150 + 75.00 * 2 = 300
For 8 hours
DJ Joe 0 + 100.00 * 8 = 800
DJ Dan 150 + 75.00 * 8 = 750
Better deal
DJ Joe < DJ Dan
0 + 100.00 x < 150 + 75.00 x
0 + 100.00 x < 150 + 75.00 x
0 - 150 < 75 x -100 x
-150 < -25 x
6 > x
x should be less than 6 hours
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