Calculus: The Language of Change

Problem 4.1
Linear Cooling

by Wyatt Hadley

Let C' stand for the rate of cooling of the canary cage of temperature C at time t.

What is the relationship between rate of cooling, C', and the temperature, C?  In other words, what does "rate of cooling" mean?  For example, which  units would you use to measure C'?

What feature of the graph of C vs. t represents C'?

What is the physical meaning of C'?

Write an equation that says, "The rate of cooling is proportional to the temperature."