Whittaker Hill
03/17/2024 · Middle School
Q4.Application \( =\quad / 5 ; \) Knowledge \( =\quad / 2 \) . A hot cup of coffee cools according to the equation where \( T \) is the temperature in degrees Celsius and \( t \) is the time in minutes. a) Which part of the equation indicates that this is an example of exponential decay? b) What was the initial temperature of the coffee? c) Use your knowledge of transformations to d) Detch the graph of this function. nearest degree, after 48 min.
UpStudy ThothAI Solution
Tutor-Verified Answer
Quick Answer
a) The term \( e^{-kt} \) indicates exponential decay.
b) The initial temperature of the coffee is \( T_0 \).
c) The temperature after 48 minutes is \( T(48) = T_a + (T_0 - T_a) e^{-k \cdot 48} \).
d) Sketch the graph with a horizontal asymptote at \( T_a \), starting at \( T_0 \), and decreasing exponentially.
Step-by-step Solution
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit