1. In Madame DUcion's innovative lab, a slowly growing mathematical bacterial colony is given by the equation P(t) = 100 + 24t + 2t^2, where P is the number of bacteria present after t-hours. Determine the average rate of growth during the first two hours.
2. Using the same equation determine how fast the colony was growing at exactly 2 hours.
#1. (P(2)-P(0))/(2-0) = (156-100)/2 = 28 crobes/hr
#2. P'(t) = 24+4t
P'(2) = 32 crobes/hr