Solved: Temperature The following data represent the
Chapter , Problem 5.1.101(choose chapter or problem)
Temperature The following data represent the temperature T (OFahrenheit) in Kansas City, Missouri, x hours after midnight on May 15, 2005. ours after Midnight, x 6 9 12 15 18 21 24 Temperature (OF), T 45.0 44.1 51.1 57.9 63.0 63.0 59.0 54.0 Source: The Weather Underground (a) Draw a scatter diagram of the data. Comment on the type of relation that may exist between the two variables. (b) Find the average rate of change in temperature from 9 AM to 12 noon. (c) What is the average rate of change in temperature from 3 PM to 6 PM? (d) The cubic function of best fit to these data is T(x) = -0.0103x3 + 0.32x2 - 1.37x + 45.39 Use this function to predict the temperature at 5 PM. lfl (e) Use a graphing utility to verify that the function given in part (b) is the cubic function of best fit. (I') With a graphing utility, draw a scatter diagram of the data and then graph the cubic function of best fit on the scatter diagram. (g) Interpret the y-intercept.
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