SOLUTION: The number of bacteria in a refrigerated food product is given by N(T)=22T2-98T+54, 4<T<34 where T is the temperature of the food. When the food is removed from the refrigera

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Question 1187254: The number of bacteria in a refrigerated food product is given by
N(T)=22T2-98T+54, 4 When the food is removed from the refrigerator, the temperature is given by
T(t)=7t+1.7, where
t is the time in hours.
Find the composite function
N(T(t))=
Find the number of bacteria after 3.7 hours. Give your answer accurate to the nearest whole value.
bacteria

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

How this problem is worded / posed, it contradicts to common sense, as well as to description of involved processes.


More concretely,  T(t)  is the temperature  OUT  the refrigerator,
while the formula for  N(T)  works for the food  INSIDE  the refrigerator.


T H E R E F O R E,   considering the composition   N(T(t))   makes no sense.