Write a differential equation that expresses the following description of a rate: When ice cream is removed from the freezer, it warms up at a rate proportional to the difference between the temperature of the ice cream and the room temperature of 76°. (Use y for the temperature of the ice cream, t for the time, and k for an unknown constant.)
A) y' = 76 - ky
B) y' = k(76 - y)
C) y' = k(76 - t)
D) y' = 76t - ky

Question

Quizplus · Accepted Answer

The rate at which the ice cream warms up is proportional to the difference between its temperature and the room temperature. This can be expressed as y' = k(76 - y), where k is the constant of proportionality. As y (temperature of ice cream) increases, the rate of warming (y') decreases, which is consistent with the description given.

Write a Differential Equation That Expresses the Following Description of a Rate