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

Algebra.Com
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(52782)   (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.



RELATED QUESTIONS

The number of bacteria in a refrigerated food product is given by N(T)=24T2-108T+68, (answered by Theo)
Question 3.3/16: The number of bacteria in a refrigerated food product is given by... (answered by ikleyn)
The number of bacteria in a refrigerated food product is given by N(T)=23T^2 -81 T+50, 3... (answered by solver91311)
Determine whether the function has an inverse function, and if so, find the inverse:... (answered by stanbon)
A microbiologist found out that the number of microbes in a refrigerated food is given by (answered by Cromlix)
Solve the given problem related to population growth. The number of bacteria N(t) (answered by fractalier)
HEIGHT OF A BULLET: HEIGHT OF A BULLET SHOT INTO THE AIR IS GIVEN BY s(t)= -4.9t^2+... (answered by richwmiller)
The number of bacteria N(t) present in a culture at time t hours is given by... (answered by ewatrrr)
The number of bacteria in a quarter teaspoon of potato salad left in the sun on the... (answered by stanbon)