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

Question 88548: 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 checkley75(3666) (Show Source): You can put this solution on YOUR website!
200=-12x^2+110x+35
-12x^2+110x+35-200=0
12x^2-110x+165=0
using the quadratic equation we get:
x=(110+-sqrt[110^2-4*12*165])/2*12
x=(110+-sqrt[12100-7920])/24
x=(110+-sqrt4180)/24
x=(110+-64.65)/24
x=(110+64.65)/24
x=174.65/24
x=7.28 hours or 7 hours & 17 minutes after 11:00 am. is one answer.
x=(110-64.65)/24
x=45.35/24
x=1.9 or 1 hour & 54 minutes after 11:00 am is the other answer.

RELATED QUESTIONS
The number N of guests that arrive at a mall food court each hour can be approximated by... (answered by edjones)

Hi. I have another question regarding time: The number N of guests that arrive at a... (answered by whenindoubt)

The number of people n in the mall is modeled by the formula: n=-100x(sq)+1200x where x... (answered by hydromojo)

the number n of state and federal inmates in millions during year x, where x is greater... (answered by Alan3354,MathTherapy)

You and your friends go to the food court at the mall. It costs $4 for every sandwich... (answered by ikleyn)

The number N of state and federal inmates in millions during year x, where x > 2002 can... (answered by stanbon)

The number N of state and federal inmates in millions during year x, where x>2002 can... (answered by stanbon,MathTherapy)

the number n of state and federal inmates in millions during year x, where x greater than (answered by MathTherapy)

At a factory, the number of items N that a newly hired worker can assemble per hour can... (answered by stanbon)