Rates of Change Temperature of Las Vegas, NV The average monthly temperatures for Las Vegas, Nevada are given in the table below. Month High (F) Low (F) Jan 31 18 Feb 35 20 March 47 28 April 60 39 May 70 49 June 79 59 July 83 63 Aug 81 62 Sept 74 54 Oct 62 43 Nov 48 33 Dec 35 22 (a) Calculate the average change in low temperatures from January to March. b) Use Desmos or another regression tool to find a function, f(t), that models the low temperatures, where t is in months. Let t = 1 be January, t = 2 February, and so on. (c) Graph the data set and your model. (d) Calculate f'(t) and f'(2). (e) What does f'(2) represent in this context? (f) Compare your answers for parts (a) and (e). How are they related? (g) Is the temperature changing more in January or in May