Question

The number of bacteria in a refrigerated food product is given by N(T)=20T2?46T+3, 3<T <33 where...

The number of bacteria in a refrigerated food product is given by N(T)=20T2?46T+3, 3<T <33 where T is the temperature of the food.
When the food is removed from the refrigerator, the temperature is given by T(t)=2t+1.5, where t is the time in hours.

Find the composite function N(T(t)):

N(T(t))=

Find the time when the bacteria count reaches 15739. Give your answer accurate to at least 2 decimal places.
Time Needed =

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