SOLUTION: Ace cruiser line offers an inland waterway cruise to a group of 50 people for a price of R30 per person but it reduces the price person by R0.50 for each additional person above

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Question 1073105: Ace cruiser line offers an inland waterway cruise to a group of 50 people for a price of R30 per person but it reduces the price person by R0.50 for each additional person above 50.
Define the revenue functions for the inland waterway cruise:
1. R(x) = x^2 - 20x + 1500
2. R(x) = -0.5x^2 + 5x + 1500
3. R(x) = x^2 + 80x + 1500
4. R(x) = 0.5x^2 + 55x + 1500
5. None of the above
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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The revenue function for this problem was just constructed in
https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.1073097.html

https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.1073097.html


It is a composite function 

         x*30                if x <= 50, 
R(x) =                                   and
         x(30-0.5*(x-50))    if x > 50.


No one of the options 1) - 4) is composite function, so the answer is the option 5).