The number of bacteria in a refrigerated yogurt is given by N(T) = 29T2 – 106T + 93, when 3 < T < 33 and where T is the temperature of the yogurt. When the yogurt is removed from the refrigerator, the temperature is given by the equation T(t) = 9t + 1.2 , where t is the time (in hours) it's been outside of the refrigerator. a.) Write a formula for the composite function N(T(t)): N(T(t)) = | 2349t2 – 327.6t + 7.56 Part 2 of 2 b.) Find the number of bacteria after 3 hours. Round your answer to the nearest whole number. bacteria

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The number of bacteria in a refrigerated yogurt is given by N(T) = 29T2 – 106T + 93, when 3 <T < 33
, and where T is the temperature of the yogurt.
When the yogurt is removed from the refrigerator, the temperature is given by the equation T(t) = 9t + 1.2
where t is the time (in hours) it's been outside of the refrigerator.
a.) Write a formula for the composite function N(T(t)):
N(T(t)) =
2349t2 – 327.6t + 7.56
Part 2 of 2
b.) Find the number of bacteria after 3 hours. Round your answer to the nearest whole number.
bacteria
Transcribed Image Text:The number of bacteria in a refrigerated yogurt is given by N(T) = 29T2 – 106T + 93, when 3 <T < 33 , and where T is the temperature of the yogurt. When the yogurt is removed from the refrigerator, the temperature is given by the equation T(t) = 9t + 1.2 where t is the time (in hours) it's been outside of the refrigerator. a.) Write a formula for the composite function N(T(t)): N(T(t)) = 2349t2 – 327.6t + 7.56 Part 2 of 2 b.) Find the number of bacteria after 3 hours. Round your answer to the nearest whole number. bacteria
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