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John is organizing a local event. He expects the approximate attendance for the event to be modeled by the function a(t) = -16t2 + 48t + 64, where t is time in hours. Assuming the event ends when there are no attendees, plot the domain to represent the duration of the event. line plot

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bekkarmahdi702

Answer:

the duration of this event is 4 hours

Step-by-step explanation:

This function is a quadratic one

let Δ be the dicriminant :

  • a = -16
  • b = 48
  • c= 64
  • Δ = 48²-4*(-16)*64 = 6400

so there are two values that satisfy -16t²+48t+64 = 0  x and y

  • x= (-48+80)/-16*2 = -1
  • y= (-48-80)/-16*2= 4

x<0 so w won't take it since time is a positive value here

so t = y = 4h

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