An ice cube tray filled with tap water is placed in the freezer, and the temperature of the water is changing at the rate of -9e -0.2t degrees Fahrenheit per hour after t hours. The original temperature of the tap water was 60 degrees. (a) Find a formula for the temperature of water that has been in the freezer for t hours. T(t) = (b) When (in hours) will the ice be ready? (Water freezes at 32 degrees. Round your answer to the nearest hour.) t = hours

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
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An ice cube tray filled with tap water is placed in the freezer, and the temperature of the water is changing at the rate of
-9e -0.2t
degrees Fahrenheit per hour after t hours. The original temperature of the tap water was 60 degrees.
(a) Find a formula for the temperature of water that has been in the freezer for t hours.
T(t)
=
(b) When (in hours) will the ice be ready? (Water freezes at 32 degrees. Round your answer to the nearest hour.)
t =
hours
Transcribed Image Text:An ice cube tray filled with tap water is placed in the freezer, and the temperature of the water is changing at the rate of -9e -0.2t degrees Fahrenheit per hour after t hours. The original temperature of the tap water was 60 degrees. (a) Find a formula for the temperature of water that has been in the freezer for t hours. T(t) = (b) When (in hours) will the ice be ready? (Water freezes at 32 degrees. Round your answer to the nearest hour.) t = hours
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