33. Growth of Bacteria Salmonella bacteria, found on almost all chicken and eggs. grow rapidly in a nice warm place. If just a fellar hundred bacteria are left on the cutting board when a chicken is cut up. and they get into the potato salad, the popula- tion begins compotmcliug. Suppose the number present in the potato salad after t hours is given by Hi) = 500 ' 23'. a. If the potato salad is left out on the table, how many bacte- ria are present 1 hour later? h. HoeF many were present initially? c. How often do the bacteria double? cl. How quickly 1will [be number of bacteria increase to 32.000\"? 78. Bald Eagle Population The U.S. Fish & Wildlife Service has monitored the number of bald eagle breeding pairs in the lower 48 states. In Exercise 41b of the previous section, the number of pairs was modeled by the exponential function f(t) = 487(1.0723 ), where t = 0 corresponded to 1963. Source: U.S. Fish & Wild- life Service. If this trend continues, when will the number of bald eagle breeding pairs be double the 2006 level of 9789?50. Tooth Length The length (in mm) of the mesiodistal crown of the first molar for human fetuses can be approximated by L(t) = -0.01/2 + 0.788t - 7.048, where t is the number of weeks since conception. Source: American Journal of Physical Anthropology. a. What does this formula predict for the length at 14 weeks? 24 weeks? b. What does this formula predict for the maximum length, and when does that occur? Explain why the formula does not make sense past that time