The function f(x) - 2.9vx + 20.1 models the median height,j(x), in inches, of boys who a
Chapter 2, Problem 127(choose chapter or problem)
The function f(x) - 2.9vx + 20.1 models the median height,j(x), in inches, of boys who a re x months of age. The graph off is shown. y 50 40 10 I:........!J:"'---':'~~:---7.:-~:--.Ll::-x o 10 20 m 40 50 ro Age (months) Source: Laura Walther Nathanson. The Portable Pi:diaJriciall for Ptlrml.'i a. Describe how the graph can be obtained using lransfonnationsofthesquareroot f1lnctionf(x) - vx. b. According to the model, what is the median height or boys who are 48 months., or four years. old? Use a calculator and round to the nearest tenth of an inch. llte actual median height for boys at 48 months is 40.8 inches. How well does the model describe the actual height? c. Use the model to find the average rate of change. ininches per month, be tween birth a nd 10 months. Round to the nearest tenth. d. Usc the model to find the average rate o f change. ininches pe r month, between 50 and 60 months.. Round to the nearest tenth. How does this compare \\~th your answer in part (c)? How is this difference shown by the graph?
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