Determine the average rate at which the quadratic function y = .017 t2 + -1.6 t + 44 changes between clock times t = 24.2 and t = 24.2 + .1 sec; between clock times t = 24.2 and t = 24.2 + .01 sec; and between clock times t = 24.2 and t = 24.2 + .001 sec. At what rate do you conjecture this function will be changing at the instant t = 24.2 sec?