Question

The number of guests g in a water park t hours after 9 am is given...

The number of guests g in a water park t hours after 9 am is given byg(t) = –10t2 + 24t + 1017 for 0 ? t ? 8. (t = 0 corresponds to 9 am)

a) Find and interpret the average rate of change of g over the interval {t | 2 ? t ? 7} = [2, 7].Show work.

b) How many guests are in the park at 9am? Show why below.

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