When the temperature T of a refrigerated food product is between 5° F and 35° F, we can model the number of bacteria in the food using the function N(T) = 28T2 - 129T + 73. When the food is removed from the refrigerator, its temperature begins to increase. The temperature (in degrees Fahrenheit) is given by the formula T(t)= 9t+1.4, where t is the time in hours after the food was removed. Find a formula for the composite function N(T(t)): N(T(t)) = Find the number of bacteria in the food after 2.9 hours. Give your answer accurate to the nearest whole value. bacteria

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 97SE: The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is...
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When the temperature T of a refrigerated food product is between 5° F and 35° F, we can model the
number of bacteria in the food using the function N(T) = 28T2 - 129T + 73.
When the food is removed from the refrigerator, its temperature begins to increase. The temperature (in
degrees Fahrenheit) is given by the formula T(t) = 9t + 1.4, where t is the time in hours after the food
was removed.
Find a formula for the composite function N(T(t)):
N(T(t))
=
Find the number of bacteria in the food after 2.9 hours. Give your answer accurate to the nearest whole
value.
bacteria
Transcribed Image Text:When the temperature T of a refrigerated food product is between 5° F and 35° F, we can model the number of bacteria in the food using the function N(T) = 28T2 - 129T + 73. When the food is removed from the refrigerator, its temperature begins to increase. The temperature (in degrees Fahrenheit) is given by the formula T(t) = 9t + 1.4, where t is the time in hours after the food was removed. Find a formula for the composite function N(T(t)): N(T(t)) = Find the number of bacteria in the food after 2.9 hours. Give your answer accurate to the nearest whole value. bacteria
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