SOLUTION: Jason got a new mp3 player for his birthday. He is very excited to get started downloading songs. He looks online and finds two companies that offer different pricing options for s

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Question 1066737: Jason got a new mp3 player for his birthday. He is very excited to get started downloading songs. He looks online and finds two companies that offer different pricing options for song downloads. Company A charges $1.00 per song, plus a one-time fee of $1.00. Company B charges $0.50 per song plus a one-time $4.50 membership fee.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
And the question is? I guess when do A and B cost the same?
Let +x+ = number of songs
Let +C+ = membership cost
Equation for A:
(1) +C+=+1%2Ax+%2B+1+
Equation for B:
(2) +C+=+.5x+%2B+4.5+
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Substitute (1) into (2)
(2) +x+%2B+1+=+.5x+%2B+4.5+
(2) +.5x+=+3.5+
(2) +x+=+7+
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For 7 songs, the cost of A and B are equal
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Here's plots for the 2 companies:
Company A starts out with lower cost
+graph%28+400%2C+400%2C+-1%2C+10%2C+-3%2C+15%2C+x+%2B+1%2C+.5x+%2B+4.5+%29+