Modeling Data The table shows the retail values (in billions of dollars) of motor homes

Chapter 2, Problem 51

(choose chapter or problem)

Modeling Data The table shows the retail values (in billions of dollars) of motor homes sold in the United States for 2000 to 2005, where is the year, with corresponding to 2000. (Source: Recreation Vehicle Industry Association)(a) Use a graphing utility to find a cubic model for the total retail value of the motor homes. (b) Use a graphing utility to graph the model and plot the data in the same viewing window. How well does the model fit the data? (c) Find the first and second derivatives of the function. (d) Show that the retail value of motor homes was increasing from 2001 to 2004. (e) Find the year when the retail value was increasing at the greatest rate by solving (f) Explain the relationship among your answers for parts (c), (d), and (e).