A package of food is removed from a refrigerator. The number N of bacteria in the food is given by N(T) = 8T2 - 16T + 500, 1 STS 16 %3D where T is the temperature (in degrees Celsius) of the food. The temperature of the food increases according to the function T(t) = 4t + 1, 0 sts 5 where t is the time in hours. (a) Find the composite function N(T(t)). N(T(t)) (b) Find the number of bacteria in the food when t = 2 hours. bacteria (c) Find the time t when the bacteria count reaches 1500. (Round your answer to two decimal places.) hr Need Help? Read It Submit Answer I'u 15 of 15

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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A package of food is removed from a refrigerator. The number N of bacteria in the food is given by
N(T) = 8T2 - 16T + 500, 1 sTS 16
where T is the temperature (in degrees Celsius) of the food. The temperature of the food increases according to the function
T(t) = 4t + 1, 0 sts 5
where t is the time in hours.
(a) Find the composite function N(T(t)).
N(T(t)) =
(b) Find the number of bacteria in the food when t = 2 hours.
bacteria
(c) Find the time t when the bacteria count reaches 1500. (Round your answer to two decimal places.)
hr
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Transcribed Image Text:A package of food is removed from a refrigerator. The number N of bacteria in the food is given by N(T) = 8T2 - 16T + 500, 1 sTS 16 where T is the temperature (in degrees Celsius) of the food. The temperature of the food increases according to the function T(t) = 4t + 1, 0 sts 5 where t is the time in hours. (a) Find the composite function N(T(t)). N(T(t)) = (b) Find the number of bacteria in the food when t = 2 hours. bacteria (c) Find the time t when the bacteria count reaches 1500. (Round your answer to two decimal places.) hr Need Help? Read It Submit Answer View Previous Question Question 15 of 15 Reguect Extonsion My Acciaamente Heme
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