SOLUTION: Hi. I have another question regarding time: The number N of guests that arrive at a mall food court each hour can be approximated by N=-12x(square) + 110x + 35, where x is the n

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Hi. I have another question regarding time: The number N of guests that arrive at a mall food court each hour can be approximated by N=-12x(square) + 110x + 35, where x is the n      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 253: Hi. I have another question regarding time:
The number N of guests that arrive at a mall food court each hour can be approximated by N=-12x(square) + 110x + 35, where x is the number of hours after 11:00 am. At what times, to the nearest minute, are 200 guests per hour arriving at the food court?

Thanks
Answer by whenindoubt(13) About Me  (Show Source):
You can put this solution on YOUR website!
this is a quadratic equation. The set up is pretty straight forward. They have given you the solution which is 200.
so
200=-12x%5E2+%2B+110x+%2B35+
since it's a quadratic equation....solve for X.
-12x%5E2+%2B+110x+-165+=+0
and now use any of the three factorization methods