Can you solve step-by-step?

1. [0/1 Points] DETAILS MY NOTES OSPRECALC1 4.7.412. PREVIOUS ANSWERS PRACTICE ANOTHER A pot of boiling soup with an internal temperature of 100 Fahrenheit was taken off the stove to cool in a 65F room. After fifteen minutes, the internal temperature of the soup was 91F. Use Newton's Law of Cooling to write a formula T(t) that models this situation, where T is the temperature of the soup in degrees Fahrenheit and t is time in minutes. 7(t) = | 35 01981t | g5 A Recall Newton's Law of Cooling T(t) = Aekt + T; and the meaning of each constant in this model. What is the difference between the initial temperature and the surrounding temperature? How can the temperatures given in the problem be used to find the constant k? Additional Materials [ eBook E Newton's Law of Cooling L] Learn by Example H Example Video Submit Answer 2. [0/1 Points] DETAILS MY NOTES OSPRECALC1 4.7.413. PREVIOUS ANSWERS PRACTICE ANOTHER A pot of boiling soup with an internal temperature of 100 Fahrenheit was taken off the stove to cool in a 74F room. After fifteen minutes, the internal temperature of the soup was 94F. To the nearest minute, how long will it take the soup to cool to 81F? 203 min Recall Newton's Law of Cooling T(t) = Aekt + T, and the meaning of each constant in the model. Is the value of the input variable or output variable being asked for in the given problem? Additional Materials eBook H Newton's Law of Cooling E Example Video Submit Answer 3. [-/1 Points] DETAILS MY NOTES OSPRECALC1 4.7.414. PRACTICE ANOTHER A pot of boiling soup with an internal temperature of 100 Fahrenheit was taken off the stove to cool in a 72F room. After fifteen minutes, the internal temperature of the soup was 94F. To the nearest degree, what will the temperature be after 2 and a half hours? 2F Additional Materials L] eBook H Newton's Law of Cooling E Example Video E Example Video