A shopping mall manager creates a parabola

Question

A shopping mall manager creates a parabola to predict the number of shoppers in a mall, where x is the number of hours since 8 AM and y is the number of shoppers in the mall. Write a function f that models the number of shoppers in the mall over time. Then find the average rate of change in the number of shoppers over the interval in which the number of shoppers increasing. Round your answer to the nearest whole number

Answer 1

at 8am (x,y)=(0,0) as the domain = 0<x<c

store is closed until 8am closing maybe 8pm=c

0<x<12

at closing time y =144a = maximum number of shoppers for the day

if y=288, then a=2

y =ax^2

y=2x^2