[Note: this question is intended to work Algebraic tools to solve any equations.] A coroner arrives on the scene of a homicide at 10:00 p.m. in a temperature-controlled room, held at 70 degrees F. The temperature, y, in degrees Fahrenheit, of the victim is given by the function y = f(t) = 22.4e(-0.15€) +70, where t is time in hours after 10:00 p.m. A) In the context of this scenario, what does time t = 1 represent? What about time t = -1? B) What is the practical range of this function? What values of y make sense in this scenario? Answer using interval notation. (Hints: What's the warmest this body could have been? What is the coldest it can get in the room?) C) What is the y-intercept of the function? Explain what this means in a sentence including the clock time..
[Note: this question is intended to work Algebraic tools to solve any equations.] A coroner arrives on the scene of a homicide at 10:00 p.m. in a temperature-controlled room, held at 70 degrees F. The temperature, y, in degrees Fahrenheit, of the victim is given by the function y = f(t) = 22.4e(-0.15€) +70, where t is time in hours after 10:00 p.m. A) In the context of this scenario, what does time t = 1 represent? What about time t = -1? B) What is the practical range of this function? What values of y make sense in this scenario? Answer using interval notation. (Hints: What's the warmest this body could have been? What is the coldest it can get in the room?) C) What is the y-intercept of the function? Explain what this means in a sentence including the clock time..
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 47E
Related questions
Question
![[Note: this question is intended to work with the graph of the function. DO NOT use any
Algebraic tools to solve any equations.]
A coroner arrives on the scene of a homicide at 10:00 p.m. in a temperature-controlled room,
held at 70 degrees F. The temperature, y, in degrees Fahrenheit, of the victim is given by the
function
y = f(t) = 22.4e(-0.15t) +70,
where t is time in hours after 10:00 p.m.
A) In the context of this scenario, what does time t
=
1 represent? What about time t = -1?
B) What is the practical range of this function? What values of y make sense in this scenario?
Answer using interval notation. (Hints: What's the warmest this body could have been? What is
the coldest it can get in the room?)
C) What is the y-intercept of the function? Explain what this means in a sentence including the
clock time.
D) Based on the graph of the function, what time t corresponds to a normal living human
temperature of 98.6 degrees? Round your answer to the nearest hundredth (2 decimal places).
What does this value of t represent in the context of the scenario? (Hint: relate it back to a time
on the clock)
E) A neighbor tells the detective she and the victim were having drinks at 9:30. Does this story
make sense?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c5081e4-cfd9-415d-92f8-5ed7b11c4f8b%2Fb095aebe-71ff-42ac-99ab-0947d714620f%2Fwcausc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[Note: this question is intended to work with the graph of the function. DO NOT use any
Algebraic tools to solve any equations.]
A coroner arrives on the scene of a homicide at 10:00 p.m. in a temperature-controlled room,
held at 70 degrees F. The temperature, y, in degrees Fahrenheit, of the victim is given by the
function
y = f(t) = 22.4e(-0.15t) +70,
where t is time in hours after 10:00 p.m.
A) In the context of this scenario, what does time t
=
1 represent? What about time t = -1?
B) What is the practical range of this function? What values of y make sense in this scenario?
Answer using interval notation. (Hints: What's the warmest this body could have been? What is
the coldest it can get in the room?)
C) What is the y-intercept of the function? Explain what this means in a sentence including the
clock time.
D) Based on the graph of the function, what time t corresponds to a normal living human
temperature of 98.6 degrees? Round your answer to the nearest hundredth (2 decimal places).
What does this value of t represent in the context of the scenario? (Hint: relate it back to a time
on the clock)
E) A neighbor tells the detective she and the victim were having drinks at 9:30. Does this story
make sense?
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