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ludmilkaskok [199]
4 years ago
5

Jessica is organizing a guided tour of the rain forest. The average profit per person that the touring company makes is given by

the rational expression 18x+35/x, where x is the number of people going on the tour.
Rewrite the expression as a sum of two fractions, and simplify?


What does the quotient 35/x represent?
Mathematics
1 answer:
Allushta [10]4 years ago
4 0

As a practical equation, this one doesn't make much sense -- why would the profit per person have a term proportional to the number of people?  Let's just go with it.

18x + \dfrac{35}{x}

= \dfrac{18x^2}{x} + \dfrac{35}{x}

= \dfrac{18x^2 + 35}{x}

That's the answer to the first part.

35/x represents a portion of the profit that's 35/x per person, or a constant $35 per tour.

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