The function f(x) = 3.11x + 19 models the median height,f(x), in inches, of girls who
Chapter 2, Problem 128(choose chapter or problem)
The function f(x) = 3.11x + 19 models the median height,f(x), in inches, of girls who are x months of age. The graph off is shown.a. Describe how the graph can be obtained usingtransformations of the square root function f(x) = 1x.b. According to the model, what is the median height of girlswho are 48 months, or 4 years, old? Use a calculator and round to the nearest tenth of an inch. The actual medianheight for girls at 48 months is 40.2 inches. How well doesthe model describe the actual height?c. Use the model to find the average rate of change, in inchesper month, between birth and 10 months. Round to thenearest tenth.d. Use the model to find the average rate of change, ininches per month, between 50 and 60 months. Roundto the nearest tenth. How does this compare with youranswer inpart (c)? How is this difference shown by thegraph?
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