Biology—Bacterial Growth: The number of bacteria in a colony after t hours is given by
g(t) = t2 + 8t + 2000 0 ≤ t ≤ 24
where t is the number of hours since the colony was established, and g(t) represents the number of bacteria.
(a) Evaluate g(3) and interpret.
(b) Determine the average rate of change in the increase of the colony’s population for t = 3 to t = 6, and interpret.
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