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It takes 15 minutes for a cup of coffee at 130 F to cool to...

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It takes 15 minutes for a cup of coffee at 130 F to cool to 100 F in a 70 F room The function T that describes the amount the coffee cools after t minutes can be modeled by T t Ts To T e kt where T t represents the Temperature of the coffee in degrees Fahrenheit t represents the number of minutes after the coffee is poured and set to rest T represents the surrounding temperature in degrees Fahrenheit To represents the initial temperature of the coffee as it is poured and set to rest and k represents a constant A What is the total amount of time needed for a 130 F cup of coffee poured and set to rest to reach 80 F in a 70 F room B Over time to what temperature does the coffee cool Explain your reasoning 7 S

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