A 98°C hard-boiled egg is put into a big pot of 18°C water at t = 0, where t is measured in minutes. After 5 minutes the temperature of the egg drops to 38°C. (a) Use the data above to solve for T(t), the temperature of the egg at time t. The only variable in your answer should be the input, t. (b) What is a realistic domain of the temperature function? (c) Draw a rough sketch of the function and label any intercepts and asymptotes. (d) Assuming the water has not warmed appreciably, how long does it take the egg to cool to a temperature of 20°C?

A 98°C hard-boiled egg is put into a big pot of 18°C water at t = 0, where t is measured in minutes. After 5 minutes the temperature of the egg drops to 38°C. (a) Use the data above to solve for T(t), the temperature of the egg at time t. The only variable in your answer should be the input, t. (b) What is a realistic domain of the temperature function? (c) Draw a rough sketch of the function and label any intercepts and asymptotes. (d) Assuming the water has not warmed appreciably, how long does it take the egg to cool to a temperature of 20°C?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...

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