At clock time t = 10 sec the temperature of an object is 68 Celsius, while at clock time t = 30 sec the temperature is 42 Celsius. Plot the corresponding points on a graph of temperature vs. clock time and determine the slope of the straight line segment connecting these points. Explain why this slope represents the average rate at which the temperature changes over this time interval.
For the exponential function y = f(t) = .02 * 1.016t, determine the average rate of change of y with respect to t, between clock times t = 30 and t = 32.