The number N of bacteria in a refrigerated food is given by N(T) = 1072 207 +500, 1 ≤ T ≤ 20 where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by T(t) = 3t+ 2, 0≤t≤6 where t is the time in hours.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.5: Rational Expressions
Problem 71E
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Given the function, how can the following problems be solved? 

The number N of bacteria in a refrigerated food is given by
N(T) = 1072 207 +500, 1 ≤ T ≤ 20
where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by
T(t) = 3t+2, 0≤t≤ 6
where t is the time in hours.
(a) Find the composition (No T)(t).
(No T) (t) =
=
0 ≤t≤6
(b) Find the bacteria count after 0.5 hour. (Round your answer to the nearest whole number.)
N(T(0.5)) =
bacteria
(c) Find the time when the bacteria count reaches 600. (Round your answer to three decimal places.)
hr
t =
Transcribed Image Text:The number N of bacteria in a refrigerated food is given by N(T) = 1072 207 +500, 1 ≤ T ≤ 20 where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by T(t) = 3t+2, 0≤t≤ 6 where t is the time in hours. (a) Find the composition (No T)(t). (No T) (t) = = 0 ≤t≤6 (b) Find the bacteria count after 0.5 hour. (Round your answer to the nearest whole number.) N(T(0.5)) = bacteria (c) Find the time when the bacteria count reaches 600. (Round your answer to three decimal places.) hr t =
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