The temperature in a laboratory is maintained at 20°C. A warm bath is left to cool down and the rate at which the temperature of the water in the bath cools is proportional to temperature difference between the laboratory and the warm bath. Initially, the warm bath had a temperature of 50°C, and after 2 minutes, the temperature of the water bath was 46°C. How long will the temperature of the bath drop to 35°C?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
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The temperature in a laboratory is maintained at 20°C. A warm bath is left to cool down and the rate
at which the temperature of the water in the bath cools is proportional to temperature difference between the
laboratory and the warm bath. Initially, the warm bath had a temperature of 50°C, and after 2 minutes, the
temperature of the water bath was 46°C. How long will the temperature of the bath drop to 35°C?
Transcribed Image Text:The temperature in a laboratory is maintained at 20°C. A warm bath is left to cool down and the rate at which the temperature of the water in the bath cools is proportional to temperature difference between the laboratory and the warm bath. Initially, the warm bath had a temperature of 50°C, and after 2 minutes, the temperature of the water bath was 46°C. How long will the temperature of the bath drop to 35°C?
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