The function f(x) = 2.9√x + 20.1 models the median height, f(x), in inches, of boys who are x months of age. The graph of f is shown below.

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20. The function f(x) = 2.9¥x + 20.1 models the median height, f(x), in inches, of boys who are x months of age. The graph of f is shown below. Boys’ Heights J wu —] fx) = 2.9Vx + 20.1 8 8 8 Median Height (inches) 5 0 10 20 30 40 50 Age (months) Source: Laura Walther Nathanson, The Portable Pediatrician for Parents a. Describe how the graph can be obtained using transformations of the square root function F£@) = Vx. b. Use the model to find the average rate of change, in inches per month, between birth and 10 months. Round to the nearest tenth. c. Use the model to find the average rate of change, in inches per month, between 50 and 60 months. Round to the nearest tenth. How does this compare with your answer in part (b)? How is this difference shown by the graph?

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