The temperature T (in degrees Fahrenheit) of food placed in a refrigerator is modeled by 10 4t + 15t + 71 t2 + 4t + 10 T = where t is the time (in hours).

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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The temperature T (in degrees Fahrenheit) of food placed in a refrigerator is modeled by
4t + 15t + 71
T = 10
t + 4t + 10
where t is the time (in hours).
What is the initial temperature of the food in degrees Fahrenheit?
71
oF
Find the rate of change of T with respect to t (in °F/hr) at the following values. (Round your answers to two decimal places.)
t = 1
(a)
|-8.67
v °F/hr
(b) t = 3
-3.24
°F/hr
(c)
t = 5
-1.39
°F/hr
(d)
|-0.03
t = 10
X °F/hr
Interpret the meaning of these values.
O Each value is the temperature of the refrigerator at time t.
O Each value is the initial temperature a particular food in the refrigerator.
O Each value is the rate at which the temperature of the refrigerator is changing at time t.
O Each value is the temperature of the food in the refrigerator at time t.
O Each value is the rate at which the temperature of the food in the refrigerator is changing at time t.
Transcribed Image Text:The temperature T (in degrees Fahrenheit) of food placed in a refrigerator is modeled by 4t + 15t + 71 T = 10 t + 4t + 10 where t is the time (in hours). What is the initial temperature of the food in degrees Fahrenheit? 71 oF Find the rate of change of T with respect to t (in °F/hr) at the following values. (Round your answers to two decimal places.) t = 1 (a) |-8.67 v °F/hr (b) t = 3 -3.24 °F/hr (c) t = 5 -1.39 °F/hr (d) |-0.03 t = 10 X °F/hr Interpret the meaning of these values. O Each value is the temperature of the refrigerator at time t. O Each value is the initial temperature a particular food in the refrigerator. O Each value is the rate at which the temperature of the refrigerator is changing at time t. O Each value is the temperature of the food in the refrigerator at time t. O Each value is the rate at which the temperature of the food in the refrigerator is changing at time t.
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