A cup of coffee is cooling on the counter. The initial temperature of the coffee is 100° F. It takes 6 minutes for the coffee to cool to 80°F in a room with surrounding air temperature of 60°F. D) Find the value for k ( the constant of proportionality) in EXACT form AND write the equation representing the particular solution for the given scenario. NO CALCULATOR. E) Using the particular solution, determine the temperature of the coffee after 4 minutes. SHOW the equation you are inputting into your calculator. Round to the nearest degree.

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 8.182TI: The time required to empty a pool varies inversely as the rate of pumping. It took Lucy 2.5 hours to...
Question
A cup of coffee is cooling on the counter. The initial temperature of the coffee is 100° F. It
takes 6 minutes for the coffee to cool to 80°F in a room with surrounding air temperature of
60°F.
D) Find the value for k ( the constant of proportionality) in EXACT form AND write
the equation representing the particular solution for the given scenario. NO
CALCULATOR.
E) Using the particular solution, determine the temperature of the coffee after 4
minutes. SHOW the equation you are inputting into your calculator. Round to the
nearest degree.
Transcribed Image Text:A cup of coffee is cooling on the counter. The initial temperature of the coffee is 100° F. It takes 6 minutes for the coffee to cool to 80°F in a room with surrounding air temperature of 60°F. D) Find the value for k ( the constant of proportionality) in EXACT form AND write the equation representing the particular solution for the given scenario. NO CALCULATOR. E) Using the particular solution, determine the temperature of the coffee after 4 minutes. SHOW the equation you are inputting into your calculator. Round to the nearest degree.
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