A body at an unknown temperature is placed in a room that is held at a constant temperature of 30°F. If after 10 minutes, the temperature of the body is 0°F and after 20 minutes, the temperature of the body is 15°F. Find an expression for the temperature of the body at any time t. Solve the unknown initial temperature.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.CR: Review Problem Set
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A body at an unknown temperature is placed in a room that is held at a constant temperature of 30°F. If after 10 minutes, the temperature of the body is 0°F and after 20 minutes, the temperature of the body is 15°F.

Find an expression for the temperature of the body at any time t.

Solve the unknown initial temperature.

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