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.

Trance Media: G(x)=80x+150/x
Ellen's incorporated: B(x)=35x+600/x

How many downloads are required for the profit earned by Trance Media to be grater than the profit earned by Elena incorporated? Provide full algebraical solution, including a sign chart.

3 answers

We want
80x+150/x ≥ 35x+600/x
45x ≥ 450/x
times x , (since clearly x is positive, the inequality sign does not change)
45x^2 ≥ 450
x^2 ≥ 10
x ≥ √10 or appr 3.162 thousand downloads, that is 3162 downloads
Thank you so much!!!!
what would be the intervals i would use to make the chart?
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