Question

A hard-boiled egg is removed from a pot of hot water and set on the table to cool. The rate of change of the egg’s temperature T with respect to time t is proportional to the difference between the egg’s temperature in degrees Fahrenheit ( °F) and the room temperature of 75°F. Which of the following is a differential equation that describes this relationship, where k is a constant?

Answer 1

Answer:

dT/dt = k(T-75)

Step-by-step explanation:

dT/dt = the rate of change of the egg's temperature T with respect to time t

k = constant

(T-75) = difference between the egg's temperature and the room temperature 75 degree

Answer 2

The relationship between the temperature of the egg and that of the room is dT/dt = k(T-75).

From the Newton's law of cooling, the rate of cooling of any object depends on the temperature difference between the object and the surroundings. This is usually expressed in a differential equation.

In this particular instant, the differential equation that shows the relationship between the temperature of the egg and that of the room is dT/dt = k(T-75).

Learn more about Newton's law of cooling:https://brainly.com/question/15574522