SOLUTION: The number N of guests that arrive at a mall food court each hour can be approximated by N = -12x2 + 110x + 35, where x is the number of hours after 11:00 a.m. At what times, to th

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Question 95798: The number N of guests that arrive at a mall food court each hour can be approximated by N = -12x2 + 110x + 35, where x is the number of hours after 11:00 a.m. At what times, to the nearest minute, are 200 guests per hour arriving at the food court?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
-12x2 + 110x + 35=200
12x^2+110x-165=0
Quadratic formula: x=1.31 x=-10.48
Throw out the -10.48 because we want the number of hrs AFTER 11.00 AM.
1.31=1hr and .31*60 minutes=18.6 or 19 minutes
11:00AM + 1:19= 12:19PM
EdJones