The number of bacteria in a refrigerated food product is given by N(T) = 23T 2

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The number of bacteria in a refrigerated food product is given by

N(T) = 23T2 − 56T+ 1, 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) = 5t + 1.5, where t is the time in hours.

a. Find the composite function N(T(t)).

b. Find the time (round to two decimal places) when the bacteria count reaches 6,752.

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Precalculus

ISBN: 9781938168345

1st Edition

Authors: Jay Abramson

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