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Question 1042162: Two software companies are developing new android apps. the average profit per x hundred downloads earned by each company can be modelled by the rational functions below, where x> or equal to 0.
Giroux Media: G(x)=80x+150/x
Nancy Incorporated B(x)=35x+600/x
How many downloads are required for the profit earned by Giroux Media to be greater than the profit earned by Lancy Incorporated? Provide a full algebraical solution, including a sign chart.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Two software companies are developing new android apps. the average profit per x hundred downloads earned by each company can be modelled by the rational functions below, where x> or equal to 0.
Giroux Media: G(x)=80x+150/x
Nancy Incorporated B(x)=35x+600/x
How many downloads are required for the profit earned by Giroux Media to be greater than the profit earned by Lancy Incorporated? Provide a full algebraical solution, including a sign chart.
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Solve:: G(x) > B(x)
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80x + 150/x > 35x + 600/x
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45x + 150/x > 4(150/x)
45x > 3(150/x)
15x > 150/x
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150 < 15x^2
x^2 > 10
x > sqrt(10)
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Cheers,
Stan H.
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