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

Algebra: Structure And Method, Book 1
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ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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Chapter9: Systems Of Linear Equations
Section9.4: The Addition-or-subtraction Method
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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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