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The number i of bacteria in a refrigerated food is given by N(T) = 1072 - 20T + 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 g T(t) = 2t + 2, 0≤t≤ 6 where t is the time in hours. (a) Find (No T)(t). (No T)(t) = 0st≤6

The number i of bacteria in a refrigerated food is given by N(T) = 1072 - 20T + 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 g T(t) = 2t + 2, 0≤t≤ 6 where t is the time in hours. (a) Find (No T)(t). (No T)(t) = 0st≤6

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.9: Combinations Of Functions: Composite Functions
Problem 8ECP: The number N of bacteria in a refrigerated food is given by NT=8T214T+200,2T12 where T is the...
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The number N of bacteria in a refrigerated food is given by N(T) = 1072 - 20T+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) = 2t + 2, 0≤t≤6 where t is the time in hours. (a) Find (No T)(t). (No T)(t) = , 0≤t≤6 Interpret (No T)(t). O This represents the rate at which the temperature of the food is changing as a function of time. O This represents the number of bacteria in the food as a function of time. O This represents the rate at which the number of bacteria in the food is increasing as a function of time. O This represents the increase in the number of bacteria in the food from time t to t + 1. (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 1200. (Round your answer to three decimal places.) t = hr
Transcribed Image Text:The number N of bacteria in a refrigerated food is given by N(T) = 1072 - 20T+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) = 2t + 2, 0≤t≤6 where t is the time in hours. (a) Find (No T)(t). (No T)(t) = , 0≤t≤6 Interpret (No T)(t). O This represents the rate at which the temperature of the food is changing as a function of time. O This represents the number of bacteria in the food as a function of time. O This represents the rate at which the number of bacteria in the food is increasing as a function of time. O This represents the increase in the number of bacteria in the food from time t to t + 1. (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 1200. (Round your answer to three decimal places.) t = hr
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